State whether each of the following statements is true or false. If th

1.	State whether each of the following statements is 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 xϵA and yϵB. (iii) If A = {1, 2}, B = {3, 4}, then A×(B∩ϕ)=ϕ
Answer» State whether each of the following statements is 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)} (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 $x ϵ A$ and $y ϵ B .$ (iii) If A = {1, 2}, B = {3, 4}, then $A \times (B \cap ϕ) = ϕ$

State whether each of the following statements is 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 xϵA and yϵB. (iii) If A = {1, 2}, B = {3, 4}, then A×(B∩ϕ)=ϕ

Answer»

State whether each of the following statements is 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)}

(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 $x ϵ A$ and $y ϵ B .$

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