Problem: Determine the compound inequality represented by a number line with a solid point at $-287$ and an open circle at $-286$. 1. Identify the points. The left point is $-287$ and the right point is $-286$. 2. Interpret the markers. A solid point means the endpoint is included, so use \le in math. An open circle means the endpoint is excluded, so use < in math. 3. Write the inequality as two comparisons. From the left inclusion we have $-287 \le x$. From the right exclusion we have $x < -286$. 4. Combine into a compound inequality. Putting the two parts together gives $-287 \le x < -286$. 5. Final answer. The compound inequality is $-287 \le x < -286$.