NCERT Exercise 2.1 Q4 - Relations and Functions

Question: State whether each statement is true or false; rewrite false statements correctly: (i) P={m,n}, Q={n,m}, then P x Q={(m,n),(n,m)}. (ii) If A and B are non-empty, A x B is a non-empty set of ordered pairs (x,y) with x in A, y in B. (iii) If A={1,2}, B={3,4}, then A x (B intersection empty set)=empty set.

Answer: (i) False: P x Q = {(m,m),(m,n),(n,m),(n,n)}. (ii) True. (iii) True.

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