Let \( A=\left\{-9,-\frac{12}{4},-\frac{5}{8},-\sqrt{5}, 0, \frac{1}{4}, 5,6 \pi, 3, \sqrt{12}\right\} \). List all the elements of \( A \) that belong to the set of integers.
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To find the elements of the set \( A \) that belong to the set of integers, let’s evaluate each element in \( A \): 1. \(-9\) is an integer. 2. \(-\frac{12}{4} = -3\) is an integer. 3. \(-\frac{5}{8}\) is not an integer (it’s a fraction). 4. \(-\sqrt{5}\) is not an integer (it’s an irrational number). 5. \(0\) is an integer. 6. \(\frac{1}{4}\) is not an integer (it’s a fraction). 7. \(5\) is an integer. 8. \(6 \pi\) is not an integer (it’s approximately 18.85). 9. \(3\) is an integer. 10. \(\sqrt{12} = 2\sqrt{3}\) is not an integer (it’s irrational). Now, we collect the integers from the list: The integers in \( A \) are: \(-9, -3, 0, 5, 3\). Therefore, the final list of integers in set \( A \) is: \[ \{-9, -3, 0, 5, 3\} \]