Question

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) If A = {1, 2}, B = {3, 4}, then A × (B ∩ Φ) = Φ.​

Answer 1

I will give you one opinion all will guess you should do it on your rough

but all I know that (1) true

Answer 2

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

Step-by-step explanation:

hope it helps

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