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If E = {even integers}, then insert the ...

If E = {even integers}, then insert the appropriate symbol `in` or `cancel(in)` in the blanks :
a . . . . . . . E

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To solve the question, we need to determine whether the variable \( A \) belongs to the set \( E \) of even integers. ### Step-by-Step Solution: 1. **Understand the Set**: - The set \( E \) is defined as the set of all even integers. This includes numbers like ..., -4, -2, 0, 2, 4, 6, 8, ... 2. **Identify the Variable**: - The variable \( A \) is not defined in the question. We need to analyze whether \( A \) could be an even integer or not. 3. **Consider Possible Values of \( A \)**: - Since \( A \) is unspecified, it could represent any integer. It could be an even integer (like 2, 4, etc.) or an odd integer (like 1, 3, etc.). 4. **Determine Membership**: - If \( A \) is an even integer, then \( A \) belongs to \( E \) (we would write \( A \in E \)). - If \( A \) is an odd integer, then \( A \) does not belong to \( E \) (we would write \( A \cancel{\in} E \)). 5. **Conclusion**: - Since we do not have specific information about \( A \), we cannot definitively say that \( A \) belongs to \( E \). Therefore, the appropriate symbol to insert in the blank is \( \cancel{\in} \) (does not belong to). ### Final Answer: The answer is: **A \cancel{\in} E**
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