Solve the absolute value equation.
-$\left| \frac { 4 x - 2 } { 4 } \right| = | - 4 |$
A) $\frac { 7 } { 2 }$
B) $\varnothing$
C) $- \frac { 9 } { 2 }$
D) $\frac { 9 } { 2 } , - \frac { 7 } { 2 }$

Question

Quizplus · Accepted Answer

The equation simplifies to $|\frac{4x-2}{4}| = 4$. Solving for $x$ when the expression inside the absolute value is positive and negative gives $x = \frac{9}{2}$ and $x = -\frac{7}{2}$, respectively.

Solve the Absolute Value Equation ∣4x−24∣=∣−4∣\left| \frac { 4 x - 2 } { 4 } \right| = | - 4 |​44x−2​​=∣−4∣

Solve the Absolute Value Equation $\left| \frac { 4 x - 2 } { 4 } \right| = | - 4 |$