To solve the inequality (x-3)^2<=0.01, we first need to graph each side of the inequality in our calculators. (x-3)^2<=y y<=0.01 Then we will find any critical points of the inequality by finding the points of intersection between these two graphs. x=2.9 x=3.1 Since x=2.9 and x=3.1 are both critical values of the inequality, we need to pick three test points - one to the left of x=-2.9, one to the right of x=3.1, and one in-between x=-2.9 and x=3.1. The test point(s) that gives a "true" statement when we plug in to the inequality is the correct side to shade on.