ANSWER
m < -2
EXPLANATION
We want to find the solution set for m in:
[tex]-3m+1>7[/tex]
First, collect like terms:
[tex]\begin{gathered} -3m>7-1 \\ -3m>6 \end{gathered}[/tex]
Now, divide both sides by -3. When you divide an inequality by a negative number, the sign changes direction:
[tex]\begin{gathered} \frac{-3m}{-3}>\frac{6}{-3} \\ m<-2 \end{gathered}[/tex]
This means that all values of m must be less than -2.
None of the options contains the correct solution set.
