Question

solve the inequality and graph the solution.
-2 < y + 6
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 y

Subtract 6 from both sides of the inequality.
$-2-6 < y + 6-6$

Step2: Simplify the inequality

$-8 < y$ or $y>-8$

Answer:

The solution of the inequality is $y > - 8$. On the number - line, we use an open circle at - 8 (since the inequality is strict, i.e., $y$ is greater than but not equal to - 8) and draw a ray to the right of - 8.