Solve the absolute value equation or indicate that the equation has no solution.
-$$| 4 x - 2 | + 7 = 4$$
A) $\left\{ - \frac { 1 } { 4 } , - \frac { 5 } { 4 } \right\}$
B) $\left\{ - \frac { 1 } { 4 } \right\}$
C) $\left\{ \frac { 5 } { 4 } , \frac { 1 } { 4 } \right\}$
D) $\varnothing$

Question

Quizplus · Accepted Answer

The equation $| 4x - 2 | + 7 = 4$ simplifies to $| 4x - 2 | = -3$. Since the absolute value of any real number is always non-negative, the equation has no solution.

Solve the Absolute Value Equation or Indicate That the Equation ∣4x−2∣+7=4| 4 x - 2 | + 7 = 4∣4x−2∣+7=4

Solve the Absolute Value Equation or Indicate That the Equation $| 4 x - 2 | + 7 = 4$