Math Snap
PROBLEM
For a prime number , when is a negative even integer for in which set? A. Negative integers B. Positive odd integers C. Positive even integers D. Negative odd integers E. Negative even integers
STEP 1
Assumptions1. is a positive prime number greater than. is always a negative even integer3. is an integer
STEP 2
We know that is a positive prime number greater than2. This means is an odd number because the only even prime number is2. Therefore, is also an odd number because the square of an odd number is always odd.
STEP 3
We want to be a negative even integer. Since is odd, we need to be negative and even because the product of an odd number and an even number is always even.
SOLUTION
So, the set of integers that can be is the set of all negative even integers.
Therefore, the answer is. The set of all negative even integers.
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