Let A={x:x=2n, n∈Z}and B={x:x=3n, n∈Z}then find A∩B.

A inter. B = {x : x = 6n, n belongs to Z}

Explaination.... It can be clearly seen that Set A consists of multiples of 2 nd set B consists of multiples of 3.if a is a common multiple of both 2 and 3 = a = 2 * 3 * n = 6n where n is an integer.hope i helped :)

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{x:x=6n,nEZ}

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