Solving Two-Step Inequalities

Solve for x.

2x + 6 ≥ -8

• x ≥ -7

• x ≤ -7

• x ≥ -10

• x ≤ -10

-3x − 4 < 5

• x > -3

• x < -3

• x < 3

• x > 3

Solve for k. 

7k – 2 ≥ -9

• k ≤ -1

• k≤1

• k≥1

• k ≥ -1

Do I need to flip my sign?
-3x  ≥ 12

• Yes, because I'll be dividing by a negative number

• No, because you never flip the sign. 

Solve and graph the inequality.
7n - 1 > 76

• A

• B

• C

• D

2x + 6 ≥ -8

• x ≥ -7

• x ≤ -7

• x ≥ -10 

• x ≤ -10

y + 7 ≥ 12

• y ≥ 5

• y ≤ 5 

• y ≥ 19 

• y ≤ 19

Solve the following inequality. Show your algebraic work!

• m > -2

• m > 6

• m < 5

• m < 3

Solve for k. 2k - 9 ≤ -19

• k ≤ -5

• k ≤ 5

• k < -5

• k < 5

Solve for k.

7k – 2 ≥ -9

• k ≤ -1

• k ≤ 1

• k ≥ 1

• k ≥ -1