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in Sets, Relations and Functions by (46.2k points)
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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

1 Answer

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Best 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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