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Question
Let A = {a, b, c} and R = {(a, a), (b, b), (a, c)}. Write down the minimum number of ordered pairs to be included to R to make it equivalence
Solution
Given A = {a, b, c}
R = {(a, a), (b, b), (a, c)}
After including the ordered pairs (c, c), (c, a) to R the new relation becomes
R1 = {(a, a), (b, b), (c, c), (a, c), (c, a)}
R1 is reflexive symmetric and transitive.
∴ R1 is an equivalence relation.
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