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Abhingya Patra Grade: 11
        

If R and S are relations on a set A, then prove: R is reflexive and S is any relation implies RUS is reflexive.

7 years ago

Answers : (1)

Askiitians Expert Sahil Arora - IITD
19 Points
										

Dear Abhingya


R is reflexive ==> for all x belonging to A....x is related to itself


As both relations R and S are defined on A..


R union S is reflexive ==>for all x belonging to A....x is related to itself......which is true as R is reflexive.


Hence R is reflexive and S is any relation implies RUS is reflexive.


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Regards,

Askiitians Experts

Sahil Arora
IIT Delhi
7 years ago
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