1.

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`.

Answer» (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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