Find the solution set for the equation.
-$$| 7 x + 6 | + 9 = 13$$
A) $\left\{ - \frac { 1 } { 3 } , - \frac { 5 } { 3 } \right\}$
B) $\left\{ \frac { 2 } { 7 } , \frac { 10 } { 7 } \right\}$
C) $\varnothing$
D) $\left\{ - \frac { 2 } { 7 } , - \frac { 10 } { 7 } \right\}$

Question

Quizplus · Accepted Answer

The equation simplifies to $|7x + 6| = 4$. Solving $7x + 6 = 4$ gives $x = -\frac{2}{7}$, and solving $7x + 6 = -4$ gives $x = -\frac{10}{7}$.

Find the Solution Set for the Equation ∣7x+6∣+9=13| 7 x + 6 | + 9 = 13∣7x+6∣+9=13

Find the Solution Set for the Equation $| 7 x + 6 | + 9 = 13$