Solve Equations Involving Absolute Value
Solve the absolute value equation or indicate that the equation has no solution.
-$$| 5 x + 4 | = 6$$
A) $\left\{ \frac { 2 } { 5 } , - 2 \right\}$
B) $\left\{ \frac { 1 } { 2 } , - \frac { 5 } { 2 } \right\}$
C) $\left\{ - \frac { 2 } { 5 } , 2 \right\}$
D) $\varnothing$

Question

Quizplus · Accepted Answer

To solve $| 5x + 4 | = 6$, we set up two equations: $5x + 4 = 6$ and $5x + 4 = -6$. Solving the first gives $x = \frac{2}{5}$ and solving the second gives $x = -2$.

Solve Equations Involving Absolute Value Solve the Absolute Value Equation ∣5x+4∣=6| 5 x + 4 | = 6∣5x+4∣=6

Solve Equations Involving Absolute Value
Solve the Absolute Value Equation $| 5 x + 4 | = 6$