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) A={1,2},B={3,4}, then A×(B∩ϕ)=ϕ

State whether each of the following statements are true or false. If t

1.	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) A={1,2},B={3,4}, then A×(B∩ϕ)=ϕ
Answer» 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 $P \times Q = {(m, n), (n, m)}$ $(i i)$ If $A$ and $B$ are non-empty sets, then $A \times B$ is a non-empty set of ordered pairs $(x, y)$ such that $x \in A$ and $y \in B$ $(i i i) A = {1, 2}, B = {3, 4}$ , then $A \times (B \cap ϕ) = ϕ$