Solve $| 3 x + 8 | - 14 = - 8$ , if possible.
A) $x = - \frac { 2 } { 3 }$ , $x = - \frac { 14 } { 3 }$
B) $x = - \frac { 2 } { 3 }$ , $x = \frac { 14 } { 3 }$
C) $x = - 2$ , $x = - 14$
D) $x = \frac { 2 } { 3 }$ , $x = - \frac { 14 } { 3 }$
E)no solution

Question

Quizplus · Accepted Answer

The equation is equivalent to $ | 3 x + 8 | = 6 $. Since the absolute value of a number is always nonnegative, the only way for this equation to be true is if $ 3 x + 8 = 6 $ or $ 3 x + 8 = - 6 $. Solving each of these equations gives $ x = - \frac { 2 } { 3 } $ or $ x = - \frac { 14 } { 3 } $.

Solve ∣3x+8∣−14=−8| 3 x + 8 | - 14 = - 8∣3x+8∣−14=−8

Solve $| 3 x + 8 | - 14 = - 8$