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 relexive relations in A, then R - R' is reflexive
D. If R, R' are equivalence relations in a set A, then  R ∩ R'  is also an equivalence relation in A
Answer» D. If R, R' are equivalence relations in a set A, then  R ∩ R'  is also an equivalence relation in A


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