1. The problem is to graph the set of values $x$ such that $-1 < x \leq 3$ on a number line. 2. This set describes all numbers greater than $-1$ but less than or equal to $3$. 3. To represent this on a number line: - Use an open circle at $-1$ to show that $-1$ is not included. - Use a closed circle at $3$ to show that $3$ is included. - Shade the line segment between $-1$ and $3$ to indicate all values in between are included. 4. This is a standard way to graph inequalities on a number line, where open circles exclude the endpoint and closed circles include it. Final answer: The graph is a line segment from just greater than $-1$ (open circle) to $3$ (closed circle) inclusive.