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If A{1,2,3},B={3,4}and C={4,5,6}, then f...

If `A{1,2,3},B={3,4}and C={4,5,6}`, then find the each of the following :
(i) `A cap(B cupC)`
(ii) `(A-B)cupC`
(iii) `(A cupB)-C`
(iv) `(A cap B)cup C`.

Text Solution

Verified by Experts

(i) `B cupC={3,4,5,6}`
`rArrA cap(BcupC)={3}`
(ii) `A -B={1,2}`
`rArr (A-B) cup C = {1,2,4,5,6}`
(iii) `A cupB={1,2,3,4}`
`rArr(A cupB)-C={1,2,3}`
(iv) `A capB={3}`
`rArr (A capB) cup C=(3,4,5,6}`.
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