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(d) For each of the following relations, select ALL applicable properties. i. (4 marks) The domain is the set of all integers Z. The relation
(d) For each of the following relations, select ALL applicable properties. i. (4 marks) The domain is the set of all integers Z. The relation R is defined as follows: r Ry if and only if r + y is even. Select ALL the correct statements below. A. R is reflexive B. R is symmetric C. R is anti-symmetric D. R is not transitive E. R is an equivalence relation F. R is a partial order G. R has infinitely many equivalence classes H. The equivalence class of R containing 10 is the same as the equivalence class of R containing 32. I. The equivalence class of R containing 10 is the same as the equivalence class of R containing 1 1. ii. (2 marks) The domain for the relation is Z x Z. (a, b) is related to (c, d) if a
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