Graph the solution set.
-$$| 2 x - 6 | = | x + 8 |$$
A) $\left\{ 14 , - \frac { 2 } { 3 } \right\}$
B) $\varnothing$
C) $\{ 14 \}$
D) $\left\{ - 14 , \frac { 2 } { 3 } \right\}$

Question

Quizplus · Accepted Answer

To solve $| 2x - 6 | = | x + 8 |$, we consider two cases: $2x - 6 = x + 8$ and $2x - 6 = -(x + 8)$. Solving these gives $x = 14$ and $x = -\frac{2}{3}$, respectively.

Graph the Solution Set ∣2x−6∣=∣x+8∣| 2 x - 6 | = | x + 8 |∣2x−6∣=∣x+8∣

Graph the Solution Set $| 2 x - 6 | = | x + 8 |$