Discussion :: Sets, Relations and Functions
- Which of the following statements is false ?
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A.
If R is relexive, then R ∩ R-1≠ φ |
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B.
R ∩ R-1≠ φ =>R is anti-symmetric. |
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C.
If R, R' are reflexive relations in A, then R - R' is reflexive |
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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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Answer : Option C
Explanation :
If R, R' are reflexive relations in A, then R - R' is reflexive
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