Question: Let sets A, B, and C be defined as follows: A = {x Z | x = 4a + 13 for some integer a}, B

Let sets A, B, and C be defined as follows: A = {x Z | x = 4a + 13 for some integer a}, B = {y Z | y = 4b 3 for some integer b}, and C = {z Z | z = 4c + 1 for some integer c}. Prove or disprove each of the following statements: I. A = B II. B = C III. C B

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