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  1.  Which of the following statements is false ?

  2. 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

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    Workspace

    Answer : Option C

    Explanation :

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


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