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, re-write 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 xϵB and yϵA. (iii) If 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, re-write the given statement correctly (i) If P = {m, n} and Q = {n, m}. then $P \times Q =$ {(m, n), (n, m)} (ii) If A and B are non-empty sets, then $A \times B$ is a non - empty set of ordered pairs (x, y) such that $x ϵ B$ and $y ϵ A .$ (iii) If A = {1, 2}, B = {3, 4}, then $A \times (B \cap ϕ) = ϕ$

State whether each of the following statements are true or false. If the statement is false, re-write 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 xϵB and yϵA. (iii) If 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, re-write the given statement correctly

(i) If P = {m, n} and Q = {n, m}. then $P \times Q =$ {(m, n), (n, m)}

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

(iii) If A = {1, 2}, B = {3, 4}, then $A \times (B \cap ϕ) = ϕ$