Multi Step Linear Inequality

Solve the inequality and graph its solution.

• 
• 
• 
• 

Tags

CCSS.7.EE.B.4B

I can solve and graph multi-step linear inequalities in one variable.

Tags

CCSS.6.EE.B.8

6(n + 2) < -72

• n < -14

• n < 35/3

• n < -10

• n > -14

Tags

CCSS.7.EE.B.4B

6x + 2 + 6x < 14

• x < 1

• x > 1

• x < -1

• x > -1

9 ≥ -2m + 2 − 3

• m ≤ 5

• m ≤ -5

• m ≥ -5

• m ≥ 5

Tags

CCSS.7.EE.B.4B

14 < -2a + 6 - 2a

• a > -2

• a < -2

• a > 5

• a < -5

-2x + 3(-4x + 6) ≤116

• x ≤ -7

• x ≥ 29

• x ≥ -7

• x ≤ 29

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

-2 (x+2) < 14

• x < - 5

• x > -5

• x < -9

• x > -9

Tags

CCSS.7.EE.B.4B

3x − (2 + 6x) ≤ -32

• x ≥ 10

• x< -10

• x ≥ -10

• All real numbers