Answer
See graph and explanations.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/ba023620-6493-4f9d-b2c9-11423a30f2b3/result_image/1583102166.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T002519Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=e0400986464efc69bb1f024e3f8155f824811a592a82b794dacd8e3227980a21)
Work Step by Step
Step 1. Graph the function $y=2^x$; as the inequality does not include an equal sign, make the boundary dashed.
Step 2. Using a test point away from the boundary, such as $(0,0)$, we have $0\gt2^0=1$ which is not true; thus the other side without this test point should be shaded as shown in the figure.