Solve the equation.
-$$\left| \frac { 1 } { 4 } x - 6 \right| = 4$$
A) 40
B) 8, 40, 0
C) 8, 40
D) 8

Question

Quizplus · Accepted Answer

The equation $\left| \frac { 1 } { 4 } x - 6 \right| = 4$ can be solved by considering both positive and negative scenarios for the absolute value. For the positive scenario, $\frac { 1 } { 4 } x - 6 = 4$, solving for $x$ gives $x = 40$. For the negative scenario, $\frac { 1 } { 4 } x - 6 = -4$, solving for $x$ gives $x = 8$. Therefore, the solutions are $x = 8$ and $x = 40$.

Solve the Equation ∣14x−6∣=4\left| \frac { 1 } { 4 } x - 6 \right| = 4​41​x−6​=4

Solve the Equation $\left| \frac { 1 } { 4 } x - 6 \right| = 4$