Question

solve the inequality and graph the solution.
-1 < \frac{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: Subtract 1 from both sides

$-1 - 1<\frac{c}{2}+1 - 1$
$-2<\frac{c}{2}$

Step2: Multiply both sides by 2

$2\times(-2)<2\times\frac{c}{2}$
$-4 < c$

Answer:

The solution of the inequality is $c > - 4$. On the number - line, we use an open circle at $-4$ (since the inequality is strict, $c
eq - 4$) and draw a ray to the right of $-4$.