1.6 – solving compound and absolute value inequalities
TRANSCRIPT
![Page 1: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/1.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
![Page 2: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/2.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
![Page 3: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/3.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
![Page 4: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/4.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
![Page 5: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/5.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7
![Page 6: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/6.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7
![Page 7: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/7.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7
![Page 8: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/8.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17
![Page 9: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/9.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17
![Page 10: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/10.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17
-7 -7
![Page 11: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/11.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17
-7 -7
6
![Page 12: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/12.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17
-7 -7
6 <
![Page 13: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/13.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17
-7 -7
6 < 2x
![Page 14: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/14.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17
-7 -7
6 < 2x
2 2
![Page 15: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/15.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 6 < 2x 2 2 3
![Page 16: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/16.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 6 < 2x 2 2 3 <
![Page 17: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/17.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 6 < 2x 2 2 3 < x
![Page 18: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/18.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 -7 -7 6 < 2x 2 2 3 < x
![Page 19: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/19.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 -7 -7 6 < 2x 2x 2 2 3 < x
![Page 20: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/20.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 -7 -7 6 < 2x 2x < 2 2 3 < x
![Page 21: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/21.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 -7 -7 6 < 2x 2x < 10 2 2 3 < x
![Page 22: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/22.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 -7 -7 6 < 2x 2x ≤ 10 2 2 2 2 3 < x
![Page 23: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/23.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 -7 -7 6 < 2x 2x ≤ 10 2 2 2 2 3 < x x
![Page 24: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/24.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 -7 -7 6 < 2x 2x ≤ 10 2 2 2 2 3 < x x <
![Page 25: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/25.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 -7 -7 6 < 2x 2x ≤ 10 2 2 2 2 3 < x x < 5
![Page 26: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/26.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 -7 -7 6 < 2x 2x ≤ 10 2 2 2 2 3 < x x < 5
![Page 27: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/27.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 -7 -7 6 < 2x 2x ≤ 10 2 2 2 2 3 < x x < 5
3 < x
![Page 28: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/28.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 -7 -7 6 < 2x 2x ≤ 10 2 2 2 2 3 < x x ≤ 5
3 < x
![Page 29: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/29.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 -7 -7 6 < 2x 2x ≤ 10 2 2 2 2 3 < x x ≤ 5
3 < x < 5
![Page 30: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/30.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 -7 -7 6 < 2x 2x ≤ 10 2 2 2 2 3 < x x ≤ 5
3 < x ≤ 5
![Page 31: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/31.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 -7 -7 6 < 2x 2x ≤ 10 2 2 2 2 3 < x x ≤ 5
3 < x ≤ 5
0 3 5
![Page 32: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/32.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 -7 -7 6 < 2x 2x ≤ 10 2 2 2 2 3 < x x ≤ 5
3 < x ≤ 5
0 3 5
![Page 33: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/33.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 -7 -7 6 < 2x 2x ≤ 10 2 2 2 2 3 < x x ≤ 5
3 < x ≤ 5
0 3 5
![Page 34: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/34.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 -7 -7 6 < 2x 2x ≤ 10 2 2 2 2 3 < x x ≤ 5
3 < x ≤ 5
0 3 5
![Page 35: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/35.jpg)
1.6 – Solving Compound and Absolute Value Inequalities
Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.
13 < 2x + 7 ≤ 17
13 < 2x + 7 2x + 7 ≤ 17 -7 -7 -7 -7 6 < 2x 2x ≤ 10 2 2 2 2 3 < x x ≤ 5
3 < x ≤ 5
0 3 5
![Page 36: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/36.jpg)
Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line.
![Page 37: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/37.jpg)
Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line.
![Page 38: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/38.jpg)
Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line.
y – 2 > -3 or y + 4 ≤ -3
![Page 39: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/39.jpg)
Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line.
y – 2 > -3 or y + 4 ≤ -3
y – 2 > -3 or y + 4 ≤ -3
![Page 40: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/40.jpg)
Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line.
y – 2 > -3 or y + 4 ≤ -3
y – 2 > -3 or y + 4 ≤ -3
+2 +2 -4 -4
![Page 41: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/41.jpg)
Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line.
y – 2 > -3 or y + 4 ≤ -3
y – 2 > -3 or y + 4 ≤ -3
+2 +2 -4 -4
y > -1 or y ≤ -7
![Page 42: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/42.jpg)
Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line.
y – 2 > -3 or y + 4 ≤ -3
y – 2 > -3 or y + 4 ≤ -3
+2 +2 -4 -4
y > -1 or y ≤ -7
![Page 43: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/43.jpg)
Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line.
y – 2 > -3 or y + 4 ≤ -3
y – 2 > -3 or y + 4 ≤ -3
+2 +2 -4 -4
y > -1 or y ≤ -7
-7 -1 0
![Page 44: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/44.jpg)
Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line.
y – 2 > -3 or y + 4 ≤ -3
y – 2 > -3 or y + 4 ≤ -3
+2 +2 -4 -4
y > -1 or y ≤ -7
-7 -1 0
![Page 45: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/45.jpg)
Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line.
y – 2 > -3 or y + 4 ≤ -3
y – 2 > -3 or y + 4 ≤ -3
+2 +2 -4 -4
y > -1 or y ≤ -7
-7 -1 0
![Page 46: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/46.jpg)
Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line.
y – 2 > -3 or y + 4 ≤ -3
y – 2 > -3 or y + 4 ≤ -3
+2 +2 -4 -4
y > -1 or y ≤ -7
-7 -1 0
![Page 47: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/47.jpg)
Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line.
y – 2 > -3 or y + 4 ≤ -3
y – 2 > -3 or y + 4 ≤ -3
+2 +2 -4 -4
y > -1 or y ≤ -7
-7 -1 0
![Page 48: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/48.jpg)
Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line.
y – 2 > -3 or y + 4 ≤ -3
y – 2 > -3 or y + 4 ≤ -3
+2 +2 -4 -4
y > -1 or y ≤ -7
-7 -1 0
![Page 49: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/49.jpg)
Example 3
(a) Solve |a| < 4. Graph the solution on a number line.
![Page 50: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/50.jpg)
Example 3
(a) Solve |a| < 4. Graph the solution on a number line.
|a| < 4
![Page 51: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/51.jpg)
Example 3
(a) Solve |a| < 4. Graph the solution on a number line.
|a| < 4
a < 4 or a > -4
![Page 52: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/52.jpg)
Example 3
(a) Solve |a| < 4. Graph the solution on a number line.
|a| < 4
a < 4 or a > -4
-4 0 4
![Page 53: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/53.jpg)
Example 3
(a) Solve |a| < 4. Graph the solution on a number line.
|a| < 4
a < 4 or a > -4
(b) Solve |a| > 4. Graph the solution on a number line.
-4 0 4
![Page 54: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/54.jpg)
Example 3
(a) Solve |a| < 4. Graph the solution on a number line.
|a| < 4
a < 4 or a > -4
(b) Solve |a| > 4. Graph the solution on a number line.
|a| > 4
-4 0 4
![Page 55: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/55.jpg)
Example 3
(a) Solve |a| < 4. Graph the solution on a number line.
|a| < 4
a < 4 or a > -4
(b) Solve |a| > 4. Graph the solution on a number line.
|a| > 4
a > 4 or a < -4
-4 0 4
![Page 56: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/56.jpg)
Example 3
(a) Solve |a| < 4. Graph the solution on a number line.
|a| < 4
a < 4 or a > -4
(b) Solve |a| > 4. Graph the solution on a number line.
|a| > 4
a > 4 or a < -4
-4 0 4
-4 0 4
![Page 57: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/57.jpg)
Example 4 – Solve |3x – 12| ≥ 6 and graph the solution on a number line.
![Page 58: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/58.jpg)
Example 4 – Solve |3x – 12| ≥ 6 and graph the solution on a number line.
|3x – 12| ≥ 6
![Page 59: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/59.jpg)
Example 4 – Solve |3x – 12| ≥ 6 and graph the solution on a number line.
|3x – 12| ≥ 6
3x – 12 ≥ 6
![Page 60: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/60.jpg)
Example 4 – Solve |3x – 12| ≥ 6 and graph the solution on a number line.
|3x – 12| ≥ 6
3x – 12 ≥ 6 3x – 12 < -6
![Page 61: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/61.jpg)
Example 4 – Solve |3x – 12| ≥ 6 and graph the solution on a number line.
|3x – 12| ≥ 6
3x – 12 ≥ 6 3x – 12 < -6
+12 +12 _ +12 +12
![Page 62: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/62.jpg)
Example 4 – Solve |3x – 12| ≥ 6 and graph the solution on a number line.
|3x – 12| ≥ 6
3x – 12 ≥ 6 3x – 12 < -6
+12 +12 _ +12 +12
3x ≥ 18 3x < 6
![Page 63: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/63.jpg)
Example 4 – Solve |3x – 12| ≥ 6 and graph the solution on a number line.
|3x – 12| ≥ 6
3x – 12 ≥ 6 3x – 12 < -6
+12 +12 _ +12 +12
3x ≥ 18 3x < 6
3 3 3 3
![Page 64: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/64.jpg)
Example 4 – Solve |3x – 12| ≥ 6 and graph the solution on a number line.
|3x – 12| ≥ 6
3x – 12 ≥ 6 3x – 12 < -6
+12 +12 _ +12 +12
3x ≥ 18 3x < 6
3 3 3 3
x ≥ 6 x < 2
![Page 65: 1.6 – Solving Compound and Absolute Value Inequalities](https://reader036.vdocuments.mx/reader036/viewer/2022062621/551c4812550346b1458b48b0/html5/thumbnails/65.jpg)
Example 4 – Solve |3x – 12| ≥ 6 and graph the solution on a number line.
|3x – 12| ≥ 6
3x – 12 ≥ 6 3x – 12 < -6
+12 +12 _ +12 +12
3x ≥ 18 3x < 6
3 3 3 3
x ≥ 6 x < 2
0 2 6