Question

solve the inequality and graph the solution. 1 + c/2 ≥ -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: Solve the inequality

Subtract 1 from both sides of $1 + 2c\geq - 1$. We get $2c\geq - 1 - 1$, so $2c\geq - 2$. Then divide both sides by 2, we have $c\geq - 1$.

Step2: Graph the solution

On the number - line, we mark a closed circle at - 1 (because the inequality is $\geq$, so the endpoint is included) and draw a ray to the right of - 1.

Answer:

The solution of the inequality is $c\geq - 1$. On the number - line, we have a closed circle at - 1 and a ray extending to the right.