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

Question

Quizplus · Accepted Answer

The equation simplifies to $\left| \frac{2-x}{2} \right| = 2$. Solving $\frac{2-x}{2} = 2$ gives $x = -2$, and solving $\frac{2-x}{2} = -2$ gives $x = 6$. Thus, the solution set is $\{-2, 6\}$.

Find the Solution Set for the Equation 3+∣2−x2∣=53 + \left| \frac { 2 - x } { 2 } \right| = 53+​22−x​​=5

Find the Solution Set for the Equation $3 + \left| \frac { 2 - x } { 2 } \right| = 5$