Question

solve the inequality and graph the solution. 2c + 4 > - 8. 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: Isolate the variable

Subtract 4 from both sides of the inequality $2c + 4>-8$.
$2c+4 - 4>-8 - 4$
$2c>-12$

Step2: Solve for c

Divide both sides of the inequality $2c>-12$ by 2.
$\frac{2c}{2}>\frac{-12}{2}$
$c > - 6$

Step3: Graph the solution

On the number - line, since $c>-6$, we use an open - circle at $c = - 6$ (because the inequality is strict, $c$ cannot equal - 6) and draw a ray to the right.

Answer:

The solution of the inequality is $c>-6$. On the number - line, place an open - circle at $-6$ and draw a ray to the right.