\begin{tabular}{|l|c|}\hline \( 1 .\{x 512\} \) & \\ \hline 5. & \( (-\infty,-1] \cup[4, \infty) \) \\ \hline\end{tabular}

It looks like you have a table with different representations of sets or intervals. Let's clarify each entry in the table: 1. **Entry 1**: \( \{x \mid 5 < x < 11\} \) - This represents the open interval \( (5, 11) \), which includes all real numbers \( x \) such that \( x \) is greater than 5 and less than 11. 2. **Entry 2**: \( [-2, 6] \) - This is a closed interval that includes all real numbers \( x \) such that \( -2 \leq x \leq 6 \). 3. **Entry 3**: \( (-\infty, 9) \cup (15, \infty) \) - This represents the union of two intervals: all real numbers less than 9 and all real numbers greater than 15. 4. **Entry 4**: \( \{x \mid x < -7 \text{ or } x > 12\} \) - This describes the set of all real numbers \( x \) that are either less than -7 or greater than 12. This can be expressed as the union of two intervals: \( (-\infty, -7) \cup (12, \infty) \). 5. **Entry 5**: \( (-\infty, -1] \cup [4, \infty) \) - This represents the union of two intervals: all real numbers less than or equal to -1 and all real numbers greater than or equal to 4. If you need further analysis or specific operations on these sets, please let me know!