Question

solve the inequality and graph the solution. 10 + 4q > 2 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 10 from both sides

$10 + 4q - 10 > 2 - 10$
$4q > -8$

Step2: Divide both sides by 4

$\frac{4q}{4} > \frac{-8}{4}$
$q > -2$

Answer:

The solution to the inequality \(10 + 4q > 2\) is \(q > -2\). To graph this, we use an open circle at \(-2\) (since the inequality is strict, \(>\), not \(\geq\)) and draw a ray to the right of \(-2\) on the number line.