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Question: 5 let p n m be a property about two...

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5. Let P (n, m) be a property about two integers n and m. If we want to disprove the claim that ”For every integer n, there exists an integer m such that P (n, m) is true”, then we need to prove that

A. For every integer n, there exists an integer m such that P (n, m) is false. B. There exists an integer n such that P (n, m) is false for all integers m. C. For every integer n, and every integer m, the property P(n,m) is false. D. There exists an integer m such that P (n, m) is false for all integers n. E. There exists integers n, m such that P (n, m) is false.

F. If P (n, m) is true, then n and m are not integers.
G. For every integer m, there exists an integer n such that P (n, m) is false.

6. Illustrate the above in the following example.
Statement. For every integer n, there exists an integer m such that nm is odd.

i just need no 6 answer(prove)

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