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If A and B are any two sets, then...

If A and B are any two sets, then

A

A'

B

A

C

B'

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
we have ,
`(Acup B)'cup(A'capB)`
`(A'cup B)'cup(A'capB)`
`= (A'cap A')cap(A'cup B)cap (B' cup A') cap(B'cup B)`
[ By dist. of `cup`over `cap`]
`=A' cap(A'cup B)cap(B'cup A')capU`
`=A' cap(A'cup B)cap(B'cupA')`
`=A'cap{(AcapB')cup (AcapB)}`
`=A'cap{(AcapB')cap(AcapB)}'=A'capA'=A'`
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OBJECTIVE RD SHARMA ENGLISH-SETS-Section I - Solved Mcqs
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