Solve the equation.
-$$| 8 x - 3 | + 6 = - 3$$
A) $\varnothing$

B) $\left\{ - \frac { 3 } { 2 } , - \frac { 3 } { 4 } \right\}$

C) $\left\{ - \frac { 3 } { 4 } \right\}$

D) $\left\{ \frac { 3 } { 2 } , \frac { 3 } { 4 } \right\}$

Question

Solve the equation.
-$$| 8 x - 3 | + 6 = - 3$$
A) $\varnothing$

B) $\left\{ - \frac { 3 } { 2 } , - \frac { 3 } { 4 } \right\}$

C) $\left\{ - \frac { 3 } { 4 } \right\}$

D) $\left\{ \frac { 3 } { 2 } , \frac { 3 } { 4 } \right\}$

Quizplus · Accepted Answer

The equation $| 8x - 3 | + 6 = -3$ cannot have a solution because the absolute value expression $| 8x - 3 |$ is always non-negative, and when you add 6 to it, the result is always positive or at least 6. Therefore, it cannot equal -3.

Solve the Equation ∣8x−3∣+6=−3| 8 x - 3 | + 6 = - 3∣8x−3∣+6=−3

Solve the Equation $| 8 x - 3 | + 6 = - 3$