Question

Question 4 State whether each of the following statement 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 × Q = {(m, n), (n, m)}.

(ii) If A and B are non-empty sets, then A × B is a non-empty set of ordered pairs (x, y) such that x∈A and y∈B.

(iii) If A = {1, 2}, B = {3, 4}, then A × (B∩Φ) = Φ.

Class XI - Relations and Functions Page 33

Answer 1

1) False
if P={m,n} and Q={n,m}
then P×Q = {(m,n),(m,m),(n,n),(n,m)}
2) True
3) True