Solve the absolute value equation or indicate that the equation has no solution.
-$$\left| \frac { 4 x + 12 } { 3 } \right| = 4$$
A) $\{ - 6,0 \}$
B) $\{ - 6,6 \}$
C) $\{ 6,0 \}$
D) $\varnothing$

Question

Quizplus · Accepted Answer

The equation $\left| \frac { 4 x + 12 } { 3 } \right| = 4$ can be solved by considering both the positive and negative scenarios of the absolute value. Solving $\frac { 4 x + 12 } { 3 } = 4$ and $\frac { 4 x + 12 } { 3 } = -4$ leads to the solutions $x = 0$ and $x = -6$, respectively.

Solve the Absolute Value Equation or Indicate That the Equation ∣4x+123∣=4\left| \frac { 4 x + 12 } { 3 } \right| = 4​34x+12​​=4

Solve the Absolute Value Equation or Indicate That the Equation $\left| \frac { 4 x + 12 } { 3 } \right| = 4$