Question

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. 

Answer 1

(i) False
 If P = {m, n} and Q = {n, m}, then
P × Q = {(m, m), (m, n), (n, m), (n, n)}
(ii) True
(iii) True