Solve the equation.
-$$| - 9 x + 6 | = 5$$
A) $\left\{ \frac { 1 } { 9 } , \frac { 11 } { 9 } \right\}$

B) $\left\{ \frac { 1 } { 9 } \right\}$

C) $\left\{ \frac { 11 } { 9 } , - \frac { 1 } { 9 } \right\}$

D) $\left\{ - \frac { 11 } { 9 } , - \frac { 1 } { 9 } \right\}$

Question

Solve the equation.
-$$| - 9 x + 6 | = 5$$
A) $\left\{ \frac { 1 } { 9 } , \frac { 11 } { 9 } \right\}$

B) $\left\{ \frac { 1 } { 9 } \right\}$

C) $\left\{ \frac { 11 } { 9 } , - \frac { 1 } { 9 } \right\}$

D) $\left\{ - \frac { 11 } { 9 } , - \frac { 1 } { 9 } \right\}$

Quizplus · Accepted Answer

To solve $| - 9 x + 6 | = 5$, we consider two cases: $ - 9 x + 6 = 5$ and $ - 9 x + 6 = -5$. Solving the first gives $x = \frac{1}{9}$ and solving the second gives $x = \frac{11}{9}$.

Solve the Equation ∣−9x+6∣=5| - 9 x + 6 | = 5∣−9x+6∣=5

Solve the Equation $| - 9 x + 6 | = 5$