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Let R and S be two non-void relations on...

Let R and S be two non-void relations on a set A. Which of the following statement is false?

A

R and S are reflexive , then `R cap S ` is also reflexive .

B

R and S are symmetric , then `R cup S ` is also symmetric

C

R and S are transitive , then `R cap S ` is also transitive .

D

R and S are transitive , then `R cup S ` is also transitive.

Text Solution

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The correct Answer is:
B
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