Answer
See graph and explanations.
Work Step by Step
Step 1. Graph the line $x+2y=8$; as the inequality includes an equal sign, make this line solid.
Step 2. Using a test point away from the line, such as $(0,0)$, we have $0\lt8$, which satisfies the inequality. Thus, the side with this test point should be shaded as shown in the figure.
