Solve the equation.
-$$| 7 x + 6 | + 7 = - 1$$
A) $\{ - 2 \}$
B) $\varnothing$
C) $\left\{ - \frac { 2 } { 7 } , - 2 \right\}$
D) $\left\{ \frac { 2 } { 7 } , 2 \right\}$

Question

Quizplus · Accepted Answer

The equation $| 7x + 6 | + 7 = -1$ cannot have a solution because the absolute value expression $| 7x + 6 |$ is always non-negative, and adding 7 to it makes the left side of the equation always positive, which cannot equal -1.

Solve the Equation ∣7x+6∣+7=−1| 7 x + 6 | + 7 = - 1∣7x+6∣+7=−1

Solve the Equation $| 7 x + 6 | + 7 = - 1$