To solve the inequality 4x-9>2x+3, we first need to graph each side of the inequality in our calculators. y<4x-9 y>2x+3 Then we will find any critical points of the inequality by finding the points of intersection between these two graphs. x=6 Since x=6 is a critical value of the inequality, we need to pick three two points - one to the left of x=6 and one to the right of x=6. The test point(s) that gives a "true" statement when we plug in to the inequality is the correct side to shade on.