Solving Multi-step Inequalities

-3 − 6(4x + 6) > -111

• x > 3
• x < 3
• x < -3
• x > -3

Solve the inequality.
- 3(9 + x) ≥ - 21

• x ≤ 2
• x ≥ 2
• x ≥ - 2
• x ≤ - 2

Tags

CCSS.7.EE.B.4B

 $-10m+2<-18$  

•  $m<2$  

•  $m<1.6$  

•  $m>2$  

•  $m>1.6$  

Tags

CCSS.7.EE.B.4B

3x + 2(4x - 4) < 3

• x> 4

• x< 3

• x> 2

• x< 1

What is the FIRST step to solving this inequality?

 $-4\left(x-9\right)+2x\ge-27$  

• Subtract 2x on both sides

• Distribute: multiply -4 by x and by -9

• Add x to 2x

• Add 9 to both sides

4x + 1 > 13

• x > 48
• x < 3
• x > 3.5
• x > 3

Tags

CCSS.7.EE.B.4B

-9x + 7 ≥ 25

• x ≥ -3.6
• x ≤ 2
• x ≥ -2
• x ≤ -2

Tags

CCSS.7.EE.B.4B

-1(2x + 4) ≥ 6

• x ≤ -5
• x ≥ -5
• x ≤ -1
• x ≥ -1

Tags

CCSS.7.EE.B.4B

6 + 2h > 30

• h < 24

• 18 > h

• h > 12

• h < -12

Tags

CCSS.7.EE.B.4B

-4x + 14 ≤ 54

• x ≥ -10
• x ≤ -10
• x ≥ 10
• x ≤ 10

Tags

CCSS.7.EE.B.4B