1. The problem asks whether the ceiling function can only be applied to integers. 2. The ceiling function, denoted as $\lceil x \rceil$, is defined for any real number $x$. 3. It returns the smallest integer greater than or equal to $x$. 4. For example, $\lceil 2.3 \rceil = 3$, $\lceil -1.7 \rceil = -1$, and $\lceil 5 \rceil = 5$. 5. This shows the ceiling function is applied to real numbers, not just integers. 6. Therefore, the statement "the ceiling function can only be applied to integers" is False. Final answer: False