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If A={2,3,5,8,10},B={3,4,10,12} and C={4...

If `A={2,3,5,8,10},B={3,4,10,12} and C={4,5,8,14}`, then find each of the following :
(i) `(A cupB)cap(A cupC)`
(ii) `(A capB)cup(A capC)`.

Text Solution

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(i) `A cupB={2,3,4,5,8,10,12}`
`AcupC={2,3,4,5,8,10,14}`
`:. (A cupB)cap(A cupC)={2,3,,4,8,10}`
(ii) `A capB={3,10}`
` AcapC={5,8}`
`(AcapB)cup(A capC)={3,5,8,10}`.
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