1. The problem asks to write a compound inequality that describes the graph shown. 2. The graph shows a number line with a highlighted segment between 0 and 3. 3. Both endpoints 0 and 3 have open circles, which means the values at 0 and 3 are not included. 4. This corresponds to the inequality where $x$ is strictly greater than 0 and strictly less than 3. 5. The compound inequality is written as: $$0 < x < 3$$ 6. This means $x$ can be any number between 0 and 3, but not equal to 0 or 3. 7. The inequality uses the logical "and" because $x$ must satisfy both conditions simultaneously. Final answer: $$0 < x < 3$$