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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 :
-4,12 . . . . . . . E

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To solve the question, we need to determine whether the numbers -4 and 12 belong to the set of even integers, denoted by E. ### Step-by-Step Solution: 1. **Understand the Set E**: The set E is defined as the set of all even integers. Even integers are numbers that can be divided by 2 without leaving a remainder. 2. **Check the First Number (-4)**: - We need to check if -4 is an even integer. - To do this, we divide -4 by 2: \[ -4 \div 2 = -2 \] - Since -2 is an integer and there is no remainder, -4 is an even integer. 3. **Check the Second Number (12)**: - Now, we check if 12 is an even integer. - We divide 12 by 2: \[ 12 \div 2 = 6 \] - Since 6 is an integer and there is no remainder, 12 is also an even integer. 4. **Conclusion**: - Since both -4 and 12 are even integers, we conclude that both numbers belong to the set E. - Therefore, we fill in the blanks with the symbol "in" for both numbers. ### Final Answer: -4 **in** E 12 **in** E
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