Solve the compound inequality. Graph the solution set and write it in interval notation
\[
x \leq 2 \text { and } x \geq 3
\]
\(\boxed{\emptyset}\) is the final answer.
Step 1 :Solve the compound inequality: \(x \leq 2\) and \(x \geq 3\).
Step 2 :Notice that there is no number that is both less than or equal to 2 and greater than or equal to 3.
Step 3 :Therefore, the solution set is empty, which in interval notation is denoted as \(\emptyset\).
Step 4 :\(\boxed{\emptyset}\) is the final answer.