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  3. let a = {1, 2, 3}. for each of the following relat

Let A = {1, 2, 3}. For each of the following relations state (no proofs required)...

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Advance Math

Let A = {1, 2, 3}. For each of the following relations state (noproofs required) whether it is (i) both a function and anequivalence relation (ii) a function but not an equivalencerelation (iii) an equivalence relation but not a function (iv)neither a function nor an equivalence relation (a) {(1, 1),(2,2),(3, 3)} ? A × A (b) {(1, 1),(2, 2)} ? A × A (c) {(1, 1),(2,2),(3, 2)} ? A × A (d) {(1, 1),(2, 2),(2, 3)} ? A × A (e) {(1,1),(2, 2),(3, 3),(1, 3),(3, 1)} ? A × A

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