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State whether each of the following stat...

State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly.
(i) If P= {m, n} and Q = {n, m}, then `P xx Q= {(m, n),(n, m)}.`
(ii) If A and B are non-empty sets, then `A xx B` is a non-empty set of ordered pairs (x, y) such that `x in A and y in B.`
(iii) If A={1,2}, B={3,4} then `A xx (B cap phi)=phi`

Text Solution

Verified by Experts

The correct Answer is:
(i) False
`P xx Q={(m,n),(,m,m),(n,n),(n,m)}`
(ii) True
(iii) True
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