Question

If -3m + 1 > 7, which of the following is a solution set for m?

Answer 1

ANSWER

m < -2

EXPLANATION

We want to find the solution set for m in:

$-3m+1>7$

First, collect like terms:

$\begin{gathered} -3m>7-1 \\ -3m>6 \end{gathered}$

Now, divide both sides by -3. When you divide an inequality by a negative number, the sign changes direction:

$\begin{gathered} \frac{-3m}{-3}>\frac{6}{-3} \\ m$

This means that all values of m must be less than -2.

None of the options contains the correct solution set.