Question

solve the inequality and graph the solution.
q - 7 > 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: Isolate the variable q

Add 7 to both sides of the inequality $q - 7>1$. So, $q-7 + 7>1 + 7$.

Step2: Simplify the inequality

We get $q>8$.

Step3: Graph the solution

On the number - line, we use an open circle at 8 (because the inequality is $q>8$, not $q\geq8$) and draw a ray to the right of 8.

Answer:

The solution of the inequality is $q > 8$. On the number - line, place an open circle at 8 and draw a ray to the right of 8.