Question

Solve:
|3x+ 2| > 14

show work

Answer 1

`x > 4`

Explanation:

Move the constant to the right-hand and change its sign:

`3x > 14 - 2`

Subtract the number:

`3x > 12`

Divide both sides of the inequality by 3:

`3 / 12 = 4`

Therefore, the answer will be x > 4.

Answer 2

x < -16/3 or x > 4

Explanation:

This is split into two inequalities: 3x + 2 > 14 and -(3x + 2) > 14.

3x + 2 > 14

3x > 12

x > 4

-(3x + 2) > 14

3x + 2 < -14

3x < -16

x < -16/3