Aptitude | GATE CS 1998 | Question 7

Let R₁ and R₂ be two equivalence relations on a set. Consider the following assertions:
(i) R₁ ∪ R₂ is an equivalence relation
(ii) R₁ ∩ R₂ is an equivalence relation

Which of the following is correct?
(A) both assertions are true
(B) assertions (i) is true but assertions (ii) is not true
(C) assertions (ii) is true but assertions (i) is not true
(D) neither (i) nor (ii) is true


Answer: (C)

Explanation:

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