Question: Question: Let A = {x Z| x = 5a + 2 for some integer a}, B = {y Z | y = 10b 3 for

Question:

Let A = {x Z| x = 5a + 2 for some integer a},

B = {y Z | y = 10b 3 for some integer b}, and

C = {z Z| z = 10c + 7 for some integer c}.

Prove or disprove each of the following statements.

a. A B

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