1. The problem asks to write a compound inequality describing the graph segment from -289 to -284 with two points at -287 (solid) and -286 (open). 2. A solid point means the value is included ($\geq$ or $\leq$), and an open point means the value is not included ($<$ or $>$). 3. From the graph, the solid point at -287 means $x \geq -287$. 4. The open point at -286 means $x < -286$. 5. Combining these gives the compound inequality: $$-287 \leq x < -286$$ This inequality describes all values of $x$ starting at -287 (inclusive) up to but not including -286.