Solve the absolute value equation.
-$| 6 x + 7 | + 5 = 2$
A) $- \frac { 4 } { 7 } , - \frac { 10 } { 7 }$
B) $\frac { 2 } { 3 } , \frac { 5 } { 3 }$
C) $- \frac { 2 } { 3 } , - \frac { 5 } { 3 }$
D) $\varnothing$

Question

Quizplus · Accepted Answer

First, subtract 5 from both sides to isolate the absolute value: $| 6x + 7 | = -3$. Since the absolute value of any real number is always non-negative, there are no real solutions to this equation. The absolute value cannot equal a negative number.

Solve the Absolute Value Equation ∣6x+7∣+5=2| 6 x + 7 | + 5 = 2∣6x+7∣+5=2

Solve the Absolute Value Equation $| 6 x + 7 | + 5 = 2$