Chapter 7 - Section 7.5 - Systems of Inequalities - Exercise Set - Page 862: 8

See graph and explanations.

Step 1. Graph the line $y=3x+2$; as the inequality does not include an equal sign, make this line dashed. Step 2. Using a test point away from the line, such as $(0,0)$, we have $0\gt2$, which is not true; thus the other side not with this test point should be shaded as shown in the figure.