Solve the equation.
-$$\left| \frac { 9 x - 3 } { 10 } \right| = 5$$
A) $\left\{ \frac { 53 } { 9 } \right\}$
B) $\left\{ \frac { 47 } { 5 } , - \frac { 53 } { 5 } \right\}$
C) $\left\{ \frac { 8 } { 5 } , - \frac { 2 } { 5 } \right\}$
D) $\left\{ \frac { 53 } { 9 } , - \frac { 47 } { 9 } \right\}$

Question

Quizplus · Accepted Answer

The equation $\left| \frac { 9 x - 3 } { 10 } \right| = 5$ leads to two cases: $\frac { 9 x - 3 } { 10 } = 5$ and $\frac { 9 x - 3 } { 10 } = -5$. Solving these gives $x = \frac { 53 } { 9 }$ and $x = - \frac { 47 } { 9 }$, respectively.

Solve the Equation ∣9x−310∣=5\left| \frac { 9 x - 3 } { 10 } \right| = 5​109x−3​​=5

Solve the Equation $\left| \frac { 9 x - 3 } { 10 } \right| = 5$