Question

solve the inequality and graph the solution.
c - 6 > 3
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 c

Add 6 to both sides of the inequality $c - 6>3$.
$c-6 + 6>3 + 6$

Step2: Simplify the inequality

$c>9$

To graph the solution:

• The inequality is $c>9$, so we have an open - circle at $c = 9$ (because the inequality is strict, i.e., $c$ is greater than but not equal to 9) and draw a ray to the right of 9 on the number line.

Answer:

The solution of the inequality is $c>9$. On the number - line, there is an open circle at 9 and a ray extending to the right.