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Question: If \(A = [ x : x\) is a multiple of 3\] and \(B = [ x : x\) is a multiple of 5\], then A – B is ...

If A=[x:xA = [ x : x is a multiple of 3] and B=[x:xB = [ x : x is a multiple of 5], then A – B is (Aˉ\bar { A } means complement of A)

A

Aˉ∩B\bar { A } \cap B

B

A∩BˉA \cap \bar { B }

C

Aˉ∩Bˉ\bar { A } \cap \bar { B }

D

A∩B‾\overline { A \cap B }

Answer

A∩BˉA \cap \bar { B }

Explanation

Solution

A – B = A ∩ Bc = A ∩ Bˉ\bar { B }