Question

What are the solutions of |3x + 2| > 9?

A. x > –113 or x > 73
B. x < –113 or x > 73
C. x > –113 or x < 73
D. x < –113 or x < 73

Answer 1

B. x < -11/3 or x > 7/3

Explanation:

absolute value means

3x + 2 > 9 or -(3x + 2) > 9

for 3x + 2 > 9

3x > 9 - 2

3x > 7

x > 7 / 3

for -(3x + 2) > 9

-3x - 2 > 9

-3x > 9 + 2

-3x > 11

3x < -11

x < -11 / 3