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Which relations on the set {a, b, c, d} are equivalence relations and contain (a, b) and (b, d)?

User Mdandr
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Final answer:

To determine which relations on the set {a, b, c, d} are equivalence relations and contain (a, b) and (b, d), one example is {(a, b), (b, d), (d, a)} as it is reflexive, symmetric, and transitive.

Step-by-step explanation:

An equivalence relation on a set is a relation that is reflexive, symmetric, and transitive.

To determine which relations on the set {a, b, c, d} are equivalence relations and contain (a, b) and (b, d), we need to check if these relations satisfy these three properties.

One example of such a relation is {(a, b), (b, d), (d, a)} as it is reflexive, symmetric, and transitive.

User Vfle
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