Question

solve the inequality and graph the solution. 15 > -q + 13 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 term

Subtract 13 from both sides of the inequality $15 > -q + 13$.
$15-13>-q + 13-13$
$2>-q$

Step2: Solve for q

Multiply both sides by - 1. Remember to reverse the inequality sign when multiplying by a negative number.
$-2 < q$ or $q>-2$

Answer:

The solution of the inequality is $q > - 2$. On the number - line, we use an open circle at - 2 (since the inequality is strict, $q
eq - 2$) and draw a ray to the right of - 2.