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

Question

Quizplus · Accepted Answer

The absolute value of a number is always positive or zero. So, the only way for $3m + 6$ to be equal to 9 is if $3m + 6$ is positive. This means that $3m$ must be greater than or equal to 3. Solving for $m$, we get $m \ge 1$. So, the only possible solution is $m = 1$.

Solve the Equation 3m+6∣=93 m + 6 \mid = 93m+6∣=9 A) {−5,1}\{ - 5,1 \}{−5,1}

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