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Let A={x : x in Z, 2 le x le 5} and B={x...

Let `A={x : x in Z, 2 le x le 5}` and `B={x : x in Z, -2 le x lt 4}`. Find the following :
(i) `n(A uu B)` (ii) `n(A nn B)`
(iii) `n(A-B)` (iv) `n(B-A)`

Text Solution

Verified by Experts

The correct Answer is:
`8, 2, 2, 4`

`A={2, 3, 4, 5}`
`B={-2, -1, 0, 1, 2, 3}`
`A uu B={-2, -1, 0, 1, 2, 3, 4, 5}`
`implies n (A uu B)=8`
`A nn B={2, 3}implies n (A nn B)=2`
`A-B={4, 5}implies n(A-B)=2`
`B-A={-2, -1, 0, 1}`
`n(B-A)=4`
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