1. The problem asks to write a compound inequality describing the graph shown. 2. The graph shows a number line with a highlighted segment between 0 and 2, including solid dots at both ends. 3. Solid dots mean the endpoints are included, so the inequality uses \leq (less than or equal to). 4. The compound inequality that describes all values between 0 and 2, including 0 and 2, is: $$0 \leq x \leq 2$$ 5. This means x is greater than or equal to 0 and less than or equal to 2. 6. This matches the highlighted segment on the number line exactly.