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Let X = {a, b,c,d}, and R = { (a,a) (b,b...

Let X = {a, b,c,d}, and R = { (a,a) (b,b) (a,c)}. Write down the minimum number of ordered pairs to be included to R to make it
(i) reflexive (ii) symmetric
(iii) transitive (iv) equivalence.

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