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

Let A = {1, 2, 3}. For each of the following relations state (no proofs required) whether it is (i) both a function and an equivalence relation (ii) a function but not an equivalence relation (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

Expert Solution

Colby Messinger answered 2 years ago

For each of these relations on the set {1, 2, 3, 4}, decide whether it is...

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