Question

solve the inequality and graph the solution.
\\(\frac{m + 1}{-3}>1\\)
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Multiply both sides by -3

When multiplying an inequality by a negative number, the inequality sign flips. So we have $m + 1<1\times(-3)$, which simplifies to $m + 1<-3$.

Step2: Subtract 1 from both sides

Subtracting 1 from both sides of $m + 1<-3$ gives $m<-3 - 1$, so $m<-4$.

Answer:

The solution of the inequality is $m<-4$. On the number - line, we would have an open - circle at $-4$ (because the inequality is strict, $m$ is less than but not equal to $-4$) and the line would extend to the left of $-4$.