Solve the equation.
-$|3 m + 6| = 9$
A) $\{ - 5,1 \}$
B) $\left\{ - \frac { 5 } { 2 } , \frac { 1 } { 2 } \right\}$
C) $\varnothing$
D) $\{ - 1,5 \}$

Question

Quizplus · Accepted Answer

The equation $|3m + 6| = 9$ can be solved by considering both the positive and negative scenarios of the absolute value. For the positive case, $3m + 6 = 9$, which simplifies to $3m = 3$, giving $m = 1$. For the negative case, $3m + 6 = -9$, which simplifies to $3m = -15$, giving $m = -5$. Therefore, the solutions are $m = -5$ and $m = 1$, which corresponds to choice A.

Solve the Equation ∣3m+6∣=9|3 m + 6| = 9∣3m+6∣=9 A) {−5,1}\{ - 5,1 \}{−5,1}

Solve the Equation $|3 m + 6| = 9$ A) $\{ - 5,1 \}$