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Let A=Z, the set of integers. Let R(1)={...

Let `A=Z`, the set of integers. Let `R_(1)={(m,n)epsilonZxxZ:(m+4n)` is divisible by 5 in `Z}`.
Let `R_(2)={(m,n)epsilonZxxZ:(m+9n)` is divisible by 5 in `Z}`.
Which one of the following is correct?

A

`R_(1)` is a proper subset of `R_(2)`

B

`R_(2)` is a proper subset of `R_(1)`

C

`R_(1)=R_(2)`

D

`R_(1)` is not a symmetric relation on `Z`

Text Solution

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The correct Answer is:
C
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