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Let A=NxxN be the Cartesian product of N...

Let `A=NxxN` be the Cartesian product of `N` and `N`. Let `S={(m,n),(p,q)epsilonAxxA:m+q=n+p}`
Consider the following statements:
I. If `((m,n)),(p,q))epsilonS` and `((p,q),(r,s))epsilon` then `((r,s),(m,n))epsilonS`
II. There exists at least one element `((m,n),(p,q))epsilonS` such that `((p,q),(m,n))!inS`
Which of the statements given above is /are correct?

A

I only

B

II only

C

Both I and II

D

Neither I nor II

Text Solution

Verified by Experts

The correct Answer is:
A
NA
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