Question

solve the inequality and graph the solution.
3 < \frac{m}{-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: Simplify the inequality

Multiply both sides of \(3 <\frac{m}{-1}\) by \(- 1\). Remember that when multiplying or dividing an inequality by a negative number, the direction of the inequality sign changes. So we get \(3\times(-1)>\frac{m}{-1}\times(-1)\), which simplifies to \(-3 > m\) or \(m < - 3\).

Step2: Graph the solution on the number - line

For the inequality \(m < - 3\), we use an open circle at \(m=-3\) (because the inequality is strict, \(m\) is not equal to \(-3\)) and draw a ray to the left of \(-3\) on the number - line.

Answer:

The solution of the inequality is \(m < - 3\). On the number - line, there is an open circle at \(-3\) and a ray extending to the left.