Multi-Step Inequalities

You flip an inequality symbol when you...

• subtract

• multiply and divide only

• multiply by a positive number

• multiply or divide by a negative number

6(n + 2) < -72

• n < -14

• n < 35/3

• n < -10

• n > 12

3 (m + 7) < 28

• m < 7 / 3 
• m < 3 / 7
• m < 7 
• m < 21

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:

287 ≤ 7(1 + 5p)

Hint: Be careful! Check which side the variable is on!

• p ≤ 8

• p ≥ 8

• p ≤ 56

• p ≥ 56

5y - 2 - 2y < 13

• y > 5

• y < 5

• y > 1

• y < 1

-3 - 24x - 36 > -111

• x > 3

• x < 3

• x < -3

• x > -3

Solve:

6x + 10 - 5x > -12

• x > 2

• x < 2

• x <- 22

• x > -22

Solve and graph the inequality.

-169 ≤ 8m - 9

Hint: Be careful! Check which side the variable is on!

• A

• B

• C

• D

Solve the inequality, then select ALL of the numbers included in the solution.

4x + 3 < -1

• 9

• -7

• -1

• -34

• -2