Question

solve the inequality and graph the solution.
\frac{n}{-1} \leq 2
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 the inequality \(\frac{n}{-1}\leq2\) by \(- 1\). Remember that when multiplying or dividing an inequality by a negative number, the direction of the inequality sign changes. So we get \(n\geq - 2\).

Step2: Graph the solution

On the number - line, the endpoint is at \(n = - 2\). Since the inequality is \(n\geq - 2\), the endpoint at \(n=-2\) is closed (because the inequality includes equality, i.e., \(n\) can be equal to \(-2\)). Then we draw a ray starting at \(n = - 2\) and going to the right (towards positive infinity) to represent all values of \(n\) that are greater than or equal to \(-2\).

Answer:

The solution of the inequality is \(n\geq - 2\). On the number - line, we have a closed circle at \(-2\) and a ray extending to the right.