Warm ups – solve and graph

1. a + 4 > 16

2. 15 < x – 3

3. .

4. -9v < -108

5. 208 < -13x

6. The sum of x and 3 is at least 7.

1. a > 12

2. x > 18

3. p > -28

4. v > 12

5. x < -16

520

7p

7-3 Solving Multi-Step Inequalities

Objective: To solve inequalities involving more than one

operation

2 Times you flip the inequality

1. Move variable to the left

2. Multiply or divide by a negative number

Example 1- watch 2 – work with me

5( 2) 4( 6)n n 5( 4) 2( 6) 5( 1) 1k k k

Solve the inequalities the SAME WAY you solved equations.

Example 3

x < 2x – 15

3

3x < 2x – 15

-2x -2x

x < -15

(3)(3)

TOO

1. -3 > -3t + 6

2. 26p – 20 > 14p + 64

3. .

1. t > 3

2. p > 7

3. t < -19

38

2

t

Special Case #1

3x + 4 > 2(x + 3) + x

3x + 4 > 2x + 6 + x

3x + 4 > 3x + 6

-3x -3x

4 > 6

• Distribute

•Combine like terms

•Get variable on same side

•True or false?

This state is FALSE:

No Solution

Special Case #2

3 – 3(y – 2) < 13 – 3(y – 6)

3 – 3y + 6 < 13 – 3y + 18

-3y + 9 < -3y + 31

+3y + 3y

9 < 31

• Distribute

•Combine like terms

•Get variable on same side

•True or false?

This state is TRUE:

All Numbers

Define a variable, write an inequality, and solve.

The sum of two consecutive even integers is greater than seventy-five. Name 2 consecutive even integers that meet the requirement.

Answer: 38, 40

40, 42

42, 44

Homework

Pg. 402 #17-41 ODD Quiz Tomorrow!

GAME TIME!

Snake… Whiteboard, sock, marker. Pack up everything Sit quietly.

Solve each inequality.

3 3 6t 3t

23 7

3w 15w

8 2 10 20n n 9n

Solve each inequality.

5 4 8 2 17m m 15m

2 15

3

xx

15x

6 2 4 12p p 7p

Solve each inequality.

3( 2) 8 44x x 10x

5( 4) 3( 4)k k 1k