Question

solve the inequality and graph the solution.
$\frac{c}{-1}geq2$
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 -1

When multiplying an inequality by a negative number, the direction of the inequality sign changes. So, $\frac{c}{-1}\geq2$ becomes $c\leq - 2$.

Step2: Graph on number - line

The solution $c\leq - 2$ has an endpoint at $c = - 2$. Since the inequality is $\leq$, the endpoint is a closed - circle. The graph is a ray starting at $c=-2$ and extending to the left.

Answer:

The solution of the inequality is $c\leq - 2$. On the number - line, place a closed - circle at $-2$ and draw a ray to the left.