Question

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

Answer 1

m < -2

Step-by-step 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} (-3m)/(-3)>(6)/(-3) \\ m<-2 \end{gathered}`

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

None of the options contains the correct solution set.