Multistep Inequalities

Multi-Step Inequalities

by Robin Parker

​First!!!

​Remember when you need to FLIP the inequality......

Multiple Choice

Does the inequality sign flip?
2x < 20

• Yes
• No

Multiple Choice

Does the inequality sign flip? -12y < -24

• Yes

• No

Multiple Choice

Does the inequality sign flip? 3a < -45

• Yes

• No

Multiple Choice

Does the inequality sign flip? -5x + 12= 35

• Yes

• No

Multiple Choice

Does the inequality sign flip? 3x - 7 < -22

• Yes

• No

Multiple Choice

Does the inequality sign flip? 55 < -8y - 9

• Yes

• No

Multiple Choice

Does the inequality sign flip? 13 + 5x < -25

• Yes

• No

​Multi-Step Inequalities are solved the same way as multi-step equations......

​

​Just pay attention to when to flip the signs direction, and how to finish by GRAPHING the SOLUTION SET.

​Watch the video and TAKE THE NOTES and/or Practice

​Examples.

Multiple Choice

Solve:
4(2a + 3) < 3(a - 1)

• a<-3
• a>-3
• a<3
• a>3

Multiple Choice

• a ≥ 4

• a ≥ -4

• a ≤ 4

• a ≤ -4

Multiple Choice

You want to spend at most $1200 on a new laptop.  If you make a $400 down payment, then pay the same amount every month for 12 months.  Which Inequality could be use to solve to find out how much you can pay each month.

• 12x + 1200 > 400

• 12x + 400 < 1200

• 12x + 400 > 1200

• 12x + 400 < 1200

Multiple Choice

9 ≥ -2m + 2 − 3

• m ≤ 5

• m ≤ -5

• m ≥ -5

• m ≥ 5

Multiple Choice

-3 − 6(4x + 6) > -111

• x > 3

• x < 3

• x < -3

• x > -3

Multiple Choice

Which number line shows the solution to: 11x + 14 < –8? 

• a

• b

• c

• d

Multiple Choice

Which graph matches the inequality k < 3?

• A

• B

• C

• D