If `A={x:x=3n,n in N} and B={x:x=4n,n in N}`, then find `A cap B`. – InterviewSolution

InterviewSolution

1.	If `A={x:x=3n,n in N} and B={x:x=4n,n in N}`, then find `A cap B`.
Answer» We have `A={x:x in Z and x "is a multiple of " 3}` and `B = {x:x in Z and x " is a multiple of "4}`. `therefore A cap B={x:x in Z and x " is a multiple of both 3 and 4 "}` `={x:x in Z and x " is a multiple of " 12}` `={x:x=12 n, n in Z}`. Hence , `A cap B ={x:x=12 n,n in Z}`.

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