Let a set A = A 1 ∪ A 2 ∪ … ∪ A k , where A i ∩ A j = ϕ for i ≠ j ; 1 ≤ i , j ≤ k . Define the relation R from A to A by R = { x , y : y ∈ A i if and only if x ∈ A i , 1 ≤ i ≤ k }. Then, R is:

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Let A = 1 , 2 , 3 Then R = 1 , 1 , 1 , 2 , 1 , 3 2 , 1 , 2 , 2 , 2 , 3 3 , 1 , 3 , 2 3 , 3 which is an equivalence relation.

Mathematics - Sets and Relations Question with Solution | TestHub

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