Question

What is the solution to this inequality?

4x + 2 ≤ -14 or 3x − 5 > 16


A.
x ≤ -4 or x > 7


B.
x ≤ -4


C.
x ≤ -5 or x > 8


D.
-4 ≤ x < 7

Answer 1

A. x ≤ -4 or x > 7

Explanation:

4x + 2 ≤ -14

Subtract 2 from both sides:

4x ≤ -16

Divide both sides by 4:

[x ≤ -4]

3x - 5 > 16

Add 5 to both sides:

3x > 21

Divide 3 from both sides:

[x > 7]