1. The problem asks to determine if the graph correctly represents the inequality $k > 4$. 2. The inequality $k > 4$ means all values strictly greater than 4, so the graph should show an open circle at 4 and shading to the right (values greater than 4). 3. The graph shows an open circle at $-4$, which means $-4$ is not included, but the inequality is about values greater than 4, not $-4$. 4. Since the open circle is at $-4$ and no shading is shown to the right of 4, the graph does not represent $k > 4$ correctly. 5. Therefore, the statement "The graph represents $k > 4$" is False. Final answer: False