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If X and Y are two sets, then X nn (Y nn...

If X and Y are two sets, then `X nn (Y nn X)' `equals

A

X

B

Y

C

`phi`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
`Xnn(YnnX)'=Xnn(Y'uuX')`
`=(XnnY')uu(XnnX')`
`=(XnnY')uuphi=XnnY`'
`=X-(XnnY)`
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Knowledge Check

  • If X and Y are two sets and X' denotes the complement of X, then X cap (X cup Y)' is equal to

    A
    `X`
    B
    `Y`
    C
    `phi`
    D
    `X cap Y`

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