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1. |
Which one of the following is correct?(a) A × (B – C) = (A – B) × (A – C)(b) A × (B – C) = (A × B) – (A × C) (c) A ∩ (B ∪ C) = (A ∩ B) ∪ C (d) A ∪ (B ∩ C) = (A ∪ Β) ∩ C |
Answer» (b) A × (B – C) = (A × B) – (A × C) We known that the cartesian product of two sets is defined as X × Y = { (\(x\), y) : \(x\) ∈ \(x\) and \(x\) ∈ y} ∴ A × (B – C) = (A × B) – (A × C) |
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