Question

Solve the two-step inequality and match the answer to the graph

Answer 1

(see below; answers at the bottom)

Explanation:

-4x + 7 ≥ 27

-4x ≥ 20

-x ≥ 5

Whenever you multiply or divide by a negative number in an inequality, flip the sign:

x ≤ -5

x/1 - 9 < -10

x - 9 < -10

x < -1

3x - 10 < -25

3x < -15

x < -5

5 (x - 2) > -15

Use Distributive Property:

5x - 10 > -15

5x > -5

x > -1

A) x < -5

So, A) 3x - 10 < -25.

B) x ≤ -5

So, B) -4x + 7 ≥ 27.

C) x < -1

So, C) x/1 - 9 < -10.

D) x > -1

So, D) 5 (x - 2) > -15.