To solve the inequality x^2>=abs(x), we first need to graph each side of the inequality in our calculators. x^2>=y y>=abs(x) Then we will find any critical points of the inequality by finding the points of intersection between these two graphs. x=-1 x=1 Since x=-1 and x=1 are both critical values of the inequality, we need to pick three test points - one to the left of x=-1, one to the right of x=1, and one in-between x=-1 and x=1. The test point(s) that gives a "true" statement when we plug in to the inequality is the correct side to shade on.