To solve the inequality 3x+7>=19, we first need to graph each side of the inequality in our calculators. 3x+7>=19 y>=19 Then we will find any critical points of the inequality by finding the points of intersection between these two graphs. x=4 Since x=4 is a critical value of the inequality, we need to pick two test points - one to the left of x=4 and one to the right of x=4. The test point(s) that gives a "true" statement when we plug in to the inequality is the correct side to shade on.