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 x Q = {(m, n), (n, m)}. (ii) If A and B are non-empty sets, then A x B is a non-empty set of ordered pairs (at, y) such that x∈B and y∈A (iii) If A = {1,2}, B = {3,4}, then A x {B∩φ ) = φ
Answer» (i) Given statement is false: Correct statement: P x Q = {(m, n), (m, m), (n, n), (n, m)}. (ii) Given statement is false: Correct statement: A x B = {(x, y) :x ∈ A, y ∈B}. ‘ (iii) True statement,

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 x Q = {(m, n), (n, m)}. (ii) If A and B are non-empty sets, then A x B is a non-empty set of ordered pairs (at, y) such that x∈B and y∈A (iii) If A = {1,2}, B = {3,4}, then A x {B∩φ ) = φ

Answer»

(i) Given statement is false:

Correct statement:

P x Q = {(m, n), (m, m), (n, n), (n, m)}.

(ii) Given statement is false:

Correct statement: A x B = {(x, y) :x ∈ A, y ∈B}. ‘

(iii) True statement,