Solve.
-$| - 4 x - 10 | = | - 9 + 3 x |$
A) $\left\{ - \frac { 1 } { 7 } \right\}$
B) $\left\{ - \frac { 1 } { 7 } , - 19 \right\}$
C) $\left\{ - \frac { 1 } { 7 } , 19 \right\}$
D) $\phi$

Question

Quizplus · Accepted Answer

To solve $| - 4 x - 10 | = | - 9 + 3 x |$, we consider two cases due to the absolute value:1. $-4x - 10 = -9 + 3x$Solving for $x$, we get $7x = -1$, so $x = -\frac{1}{7}$.2. $-4x - 10 = 9 - 3x$Solving for $x$, we get $-x = 19$, so $x = -19$.Therefore, the solution set is $\left\{ - \frac { 1 } { 7 } , - 19 \right\}$.

Solve - ∣−4x−10∣=∣−9+3x∣| - 4 x - 10 | = | - 9 + 3 x |∣−4x−10∣=∣−9+3x∣

Solve
- $| - 4 x - 10 | = | - 9 + 3 x |$