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Having trouble with the first two. Suppose you wish to prove P rightarrow Q usin

ID: 3119650 • Letter: H

Question

Having trouble with the first two. Suppose you wish to prove P rightarrow Q using the contrapositive method. The structure of the proof would be Suppose P and deduce Q. Suppose ~ P and deduce ~ Q. Suppose ~Q and deduce ~ P. Suppose ~ P and ~ Q. Suppose you are trying to prove the following Proposition by using direct proof: Proposition 1: If n is a positive integer such that n = 2 mod 4 or n = 3 mod 4, then n is not a perfect square. Which of the followings should be the first sentence of your proof. Suppose n is a positive integer such that n = 2 mod 4 or n = 3 mod 4. Suppose n is a positive integer such that n = 2 mod 4 and n = 3 mod 4 Suppose n is not a perfect square. Suppose n is a perfect square.

Explanation / Answer

1) A) suppose ~Q and deduce ~P;

if you work you will get the result;

counterpositive;

If you do not get the result that means you did not worked.

2) (D) suppose n is a perfect square;

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