Let A = {x : x ϵ N, x is a multiple of 3} and B = {x : x ϵ N and – InterviewSolution

1.

Let A = {x : x ϵ N, x is a multiple of 3} and B = {x : x ϵ N and x is a multiple of 5}. Write A ∩ B.

Answer»

Here,

A = {X:XϵN,X is a multiple of 3} and

B = {X:XϵN,X is a multiple of 5}.

A⋂B = {X:XϵN,X is a multiple of 3} and{X:XϵN,X is a multiple of 5}

= {X:XϵN,X is a multiple of 3 and 5}

= {X:XϵN,X is a multiple of 3*5 = 15}

= {X:XϵN,X is a multiple of 15}

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