Set Theory and Algebra MCQ

1:

 Which of the following statements is false ?

A.

If R is relexive, then R ∩ R-1 ≠ φ

B.

 R ∩ R-1 ≠ φ   =>R  is anti-symmetric.

C.

If R, R' are equivalence relations in a set A, then  R ∩ R'  is also an equivalence relation in A.

D.

If R, R' are relexive relations in A, then R - R' is reflexive

 

Answer : D

Explanation :

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Option: A

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