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Define a set U, which is a subset of Z × Z by: (0, 0) ∈ U, and for any (a, b) ∈ U, both (a, b + 1) and (a + 2, b + 1) ar

Posted: Thu Jul 07, 2022 2:20 pm
by answerhappygod
Define a set U, which is a subset of Z × Z by: (0, 0) ∈ U, andfor any (a, b) ∈ U, both (a, b + 1) and (a + 2, b + 1) are inU.
(a) List at least 5 elements of U.
(b) Prove that for any element (c, d) ∈ U, c ≤ 2d.