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

Question

Philoid · Accepted 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}