Question

solve the inequality and graph the solution. 2c + 12 > 6. 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 12 from both sides of $2c + 12>6$. We get $2c+12 - 12>6 - 12$, which simplifies to $2c>-6$. Then divide both sides by 2: $\frac{2c}{2}>\frac{-6}{2}$, so $c > - 3$.

Step2: Graph the solution

On the number - line, since the inequality is $c > - 3$, we use an open - circle at $c=-3$ (because the inequality is strict, i.e., $c$ is not equal to - 3) and draw a ray to the right of $c = - 3$.

Answer:

The solution of the inequality is $c>-3$. On the number - line, we have an open - circle at $-3$ and a ray extending to the right.