Question

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 × 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

Step-by-step explanation:

(i) false

P×Q = {(m,m),(m,n),(n,m),(n,n)}

(ii) true

(iii)true