Answer
See graph and explanations.
Work Step by Step
Step 1. Graph the function $y=log_2(x+1)$; as the inequality includes an equal sign, make the boundary solid.
Step 2. Using a test point away from the boundary, such as $(1,0)$, we have $0\gt log_22=1$ which is not true; thus the other side without this test point should be shaded as shown in the figure.