a) Suppose that A = {1, 2, 3}, B = {2, 4, 6}, and C = {3, 4, 5}. Verify that (A − B) ∪ C 6= (A ∪ C) − (B ∪ C). (3 marks)

[answerhappygod]

a) Suppose that A = {1, 2, 3}, B = {2, 4, 6}, and C = {3, 4, 5}.
Verify that (A − B) ∪ C 6= (A ∪ C) − (B ∪ C). (3 marks)
b)
*Suppose that n, m ∈ N Prove that: If
(n ≥ 1 and m ≥ 1) then (n + m) 2 > (n − m) 2 . (3 marks)
◦ Suppose that n, m ∈ N. Prove that:
If m divides n 2 , then m divides n.