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If `A= {x:x in N, x " is a factor of 6} and B = {x in N:x " is a factor of " 8}` then Find ` (i)A cap B, (ii) A cap B, (iii) A-B, (iv) B-A`.

Answer» We have,
`A={x: x in N, x " is a factor of "6}={1,2,3,6}`.
and `B={x,x in N, x "is a factor of "8}={1,2,4,8}`
(i) `A cup B={1,2,3,6} cup {1,2,3,6}cup {1,2,4,8}={1,2,4,8}`.
`(ii) A cup B={1,2,3,6}cap {1,2,4,8}={1,2}`.
`(iii)A -B={1,2,3,6}-{1,2,4,8}={3,6}`.
`(iv) B-A ={1,2,4,8}-{1,2,3,6}={4,8}`.


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