Solve the absolute value equation. $$| 4 x - 7 | = | - 4 x + 7 |$$
A) $\{ x \mid x$ is a real number $\}$
B) $\left\{ - \frac { 7 } { 4 } , \frac { 7 } { 4 } \right\}$
C){ }
D) $\{ 0 \}$

Name: Solve the absolute value equation. \[| 4 x - 7 | = | - 4 x + 7 |\] A) $\{ x \mid x$ is a real number $\}$ B) $\left\{ - \frac { 7 } { 4 } , \frac { 7 } { 4 } \right\}$ C){ } D) $\{ 0 \}$
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Question

Quizplus · Accepted Answer

Since the expressions inside the absolute value signs are opposites of each other, they will be equal for all real numbers x.

Solve the Absolute Value Equation ∣4x−7∣=∣−4x+7∣| 4 x - 7 | = | - 4 x + 7 |∣4x−7∣=∣−4x+7∣

Solve the Absolute Value Equation $| 4 x - 7 | = | - 4 x + 7 |$