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Let U be the universal set and A cup B c...

Let U be the universal set and `A cup B cup C=U "Then" [ (A-B) cup (B-C) cup (C-A)]`equals

A

`A cup B cup C`

B

`A cap B cap C`

C

`A cup (B cap C)`

D

`A cap (B cup C)`

Text Solution

Verified by Experts

The correct Answer is:
B

`A-B rarr` Regions 3 and 5 .
`B -C rarr `Regions 2 and 6
`C-A rarr `Regions 4 and 7
`therefore (A-B) cup (B-C)cup (C-A) rarr `Regions 2,3,4,5,6,7
`therefore {[(A-B) cup (B-C)cup (C-A)' rarr ` Region 1 which is
`A cap B cap C`
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CENGAGE-SET THEORY AND REAL NUMBER SYSTEM -Exercises
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  2. For sets (A cup B) cup ( A cap B) equals

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  4. The shaded region in the given figure is

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  18. The solution set of the inequlity (|x-2|-x)/(x)lt2 is

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