Q. 42 Let R and S be any two equivalence relations on a non-empty set A. Which one of the following statements is TRUE?
(A) R ∪ S, R ∩ S are both equivalence relations
(B) R ∪ S is an equivalence relation
(C) R ∩ S is an equivalence relation
(D) Neither R ∪ S nor R ∩ S is an equivalence relation
Answer: (C)
Explanation:
