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Homework Statement 2. Let A, B and C be the following sets: A = (x є N | x< 25) B=(x e N | x = 2m for some positive integer m) C = (x є N | x = 3m for some positive integer m) Find each of the following sets. In each case, list all of the elements of the set. i) A – (B u C) ii)A n C...

Homework Statement 1. Let x and y be positive integers and assume that xy is odd. Prove the following statement using the method of proof by contradiction: Both x and y are odd. 2. Let A, B and C be the following sets: A = (x є N | x< 25) B=(x e N | x = 2m for some positive...