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Question
Multiple Choice Question :
If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8} then state which of the following statement is true ______
Options
(A × C) ⊂ (B × D)
(B × D) ⊂ (A × C)
(A × B) ⊂ (A × D)
(D × A) ⊂ (B × A)
Solution
(A × C) ⊂ (B × D)
Explanation;
Hint: n(A × B) = 2 × 4 = 8
(A × C) = 2 × 2 = 4
n(B × C) = 4 × 2 = 8
n(C × D) = 2 × 4 = 8
n(A × C) = 2 × 2 = 4
n(A × D) = 2 × 4 = 8
n(B × D) = 4 × 4 = 16
∴ (A × C) ⊂ (B × D)
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