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(d) For each of the following relations, select ALL applicable properties. The domain is the set of all integers Z. The relation R is defined

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(d) For each of the following relations, select ALL applicable properties. The domain is the set of all integers Z. The relation R is defined as follows: a 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. L. The equivalence class of R containing 10 is the same as the equivalence class of R containing 11. ii, The domain for the relation is Z x Z. (a, b) is related to (e, d) if a S cor b d or both (inclusive or). Select ALL application properties. A. Reflexive B. Symmetric C. Anti-Symmetric D. Transitive E. Equivalence relation F. Partial order G. None of the above The domain for the relation is Z x Z. (a, b) is related to (c, d) if and only if a s c and b & d. Select ALL applicable properties. A, Reflexive B, Symmetric C. Anti-Symmetric D. Transitive E. Equivalence relation F. Partial order G. None of the above

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