6. Consider the following relations that are all relations on A (ie. AA) where A

Question

6. Consider the following relations that are all relations on A (ie. AA) where A- a, b, c, dj. Indicate which properties each relation has by circling the property names the relation possesses a) for f(a,a), (a,b), (d,c)] OReflexive o Irreflexive O Symmetric o Asymmetric o Antisymmetric O Transitive b) for {(a,d), (d,a)) OReflexive o Irreflexive O Symmetric o Asymmetric o Antisymetric O Transitive c) for f(a,d), (a,b), (c,c)) OReflexive o Irreflexive O Symmetric o Asymmetric o Antisymetric O Transitive d) for f(a,b), (b,a), (d,d)] OReflexive o Irreflexive O Symmetric o Asymmetric o Antisymetric O Transitive e) for () OReflexive o Irreflexive O Symmetric o Asymmetric o Antisymetric O Transitive f) for {(a,c), (c,a), (c,c), (a,a)) OReflexive o Irreflexive O Symmetric o Asymmetric o Antisymetric O Transitive

Explanation / Answer

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A={a,b,c,d}

a) {(a,a),(a,b),(d,c)}

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b) {(a,d),(d,a)}

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c) {(a,d),(a,b),(c,c)}

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d) {(a,b),(b,a),(d,d)}

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e) {}

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f) {a,c),(c,a),(c,c),(a,a)}

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