![Page 1: Algebra 2 Chapter 1.5 Solving Inequalities Target Goals: 1.Solve one-step and multi-step inequalities 2.Graph the solution set on an number line 3.Express](https://reader036.vdocuments.mx/reader036/viewer/2022083004/56649e405503460f94b310dc/html5/thumbnails/1.jpg)
Algebra 2
Chapter 1.5 Solving Inequalities
Target Goals:1. Solve one-step and multi-step inequalities2. Graph the solution set on an number line3. Express the solution set in interval notation
![Page 2: Algebra 2 Chapter 1.5 Solving Inequalities Target Goals: 1.Solve one-step and multi-step inequalities 2.Graph the solution set on an number line 3.Express](https://reader036.vdocuments.mx/reader036/viewer/2022083004/56649e405503460f94b310dc/html5/thumbnails/2.jpg)
What do the symbols mean?
< > ≤ ≥
less than greater than
more than
less than or equal to
no more than
greater than or equal to
more than or equal to
at least
![Page 3: Algebra 2 Chapter 1.5 Solving Inequalities Target Goals: 1.Solve one-step and multi-step inequalities 2.Graph the solution set on an number line 3.Express](https://reader036.vdocuments.mx/reader036/viewer/2022083004/56649e405503460f94b310dc/html5/thumbnails/3.jpg)
Equations vs. Inequalities
Similarities• Isolate the variable when
solving• Use the same properties of
equalities when solving
Differences• Different signs (= vs. >, <, ≥,
or ≤)• When multiplying or
dividing both sides by a negative number, remember to switch the direction of the inequality sign.
![Page 4: Algebra 2 Chapter 1.5 Solving Inequalities Target Goals: 1.Solve one-step and multi-step inequalities 2.Graph the solution set on an number line 3.Express](https://reader036.vdocuments.mx/reader036/viewer/2022083004/56649e405503460f94b310dc/html5/thumbnails/4.jpg)
Solve each inequality and graph the solution set on a number line. Express the solution set in interval notation.
Ex 1) 4y – 3 < 5y + 2 4y – 3 < 5y + 2
![Page 5: Algebra 2 Chapter 1.5 Solving Inequalities Target Goals: 1.Solve one-step and multi-step inequalities 2.Graph the solution set on an number line 3.Express](https://reader036.vdocuments.mx/reader036/viewer/2022083004/56649e405503460f94b310dc/html5/thumbnails/5.jpg)
Solve each inequality and graph the solution set on a number line. Express the solution set in interval
notation.
Ex 2) 12 ≥ -0.3x
![Page 6: Algebra 2 Chapter 1.5 Solving Inequalities Target Goals: 1.Solve one-step and multi-step inequalities 2.Graph the solution set on an number line 3.Express](https://reader036.vdocuments.mx/reader036/viewer/2022083004/56649e405503460f94b310dc/html5/thumbnails/6.jpg)
Solve each inequality and graph the solution set on a number line. Express the solution set in interval
notation.
Ex 3) 7
2
xx
![Page 7: Algebra 2 Chapter 1.5 Solving Inequalities Target Goals: 1.Solve one-step and multi-step inequalities 2.Graph the solution set on an number line 3.Express](https://reader036.vdocuments.mx/reader036/viewer/2022083004/56649e405503460f94b310dc/html5/thumbnails/7.jpg)
ApplicationsEx 4) Javier has at most $15.00 to spend
today. He buys a bag of pretzels and a bottle of juice for $1.59. If gasoline at this store costs $2.89 per gallon, how many gallons of gasoline, to the nearest tenth of a gallon, can Javier buy for his car?
![Page 8: Algebra 2 Chapter 1.5 Solving Inequalities Target Goals: 1.Solve one-step and multi-step inequalities 2.Graph the solution set on an number line 3.Express](https://reader036.vdocuments.mx/reader036/viewer/2022083004/56649e405503460f94b310dc/html5/thumbnails/8.jpg)
ApplicationsEx 5) Jin is selling advertising space in Central City
Magazine to local businesses. Jin earns 3% commission for every advertisement he sells plus a salary of $250 per week. If the average amount of money that a business spends on an advertisement is $500, how many advertisements must he sell each week to make a salary of at least $700 that week?
![Page 9: Algebra 2 Chapter 1.5 Solving Inequalities Target Goals: 1.Solve one-step and multi-step inequalities 2.Graph the solution set on an number line 3.Express](https://reader036.vdocuments.mx/reader036/viewer/2022083004/56649e405503460f94b310dc/html5/thumbnails/9.jpg)
Target Goals
1. Solve one-step and multi-step inequalities– (ex 1, 2, 3, 4, & 5)
2. Graph the solution set on an number line– (ex 1, 2, & 3)
3. Express the solution set in interval notation– (ex 1, 2, & 3)