Question

-6 ≤ 2 - 3m ≤ 7

Answer 1

\[-6\leq 2-3m\leq 7\]
subtract 2
\[-8\leq -3m\leq5\]
divide by -3, change the inequality since -3 is negative
\[\frac{8}{3}\geq m \geq -\frac{7}{3}\]

Answer 2

or if you prefer you can write
\[-\frac{7}{3}\leq m \leq \frac{8}{3}\]

Answer 3

\[-\frac{5}{3}\leq m\leq \frac{8}{3} \]