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

6 years ago

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### Answers : (1)

```										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.
Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE preparation. All the best Abhingya !!!Regards,Askiitians ExpertsSahil AroraIIT Delhi
```
6 years ago

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