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State whether each of the following statement 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. |
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Answer» (i) False If P = {m, n} and Q = {n, m}, then P × Q = {(m, m), (m, n), (n, m), (n, n)} (ii) True (iii) True |
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