1. **State the problem:** Solve the compound inequality $x \leq -2$ OR $x > 3$ and express the solution in interval notation. 2. **Understand the inequality:** The solution includes all $x$ values less than or equal to $-2$ and all $x$ values greater than $3$. 3. **Write the solution in interval notation:** - For $x \leq -2$, the interval is $(-\infty, -2]$. - For $x > 3$, the interval is $(3, \infty)$. 4. **Combine the intervals using union since it is an OR condition:** $$(-\infty, -2] \cup (3, \infty)$$ 5. **Graph description:** On a number line, shade all values to the left of $-2$ including $-2$ (closed circle) and all values to the right of $3$ excluding $3$ (open circle).