To solve the inequality 3(x+3)^2>192, we first need to graph each side of the inequality in our calculators. 3(x+3)^2>y y>192 Then we will find any critical points of the inequality by finding the points of intersection between these two graphs. x=-11 x=5 Since x=-11 and x=5 are both critical values of the inequality, we need to pick three test points - one to the left of x=-11, one to the right of x=5, and one in-between x=-11 and x=5. The test point(s) that gives a "true" statement when we plug in to the inequality is the correct side to shade on.