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For any three sets A ,B ,C prove that: ...

For any three sets `A ,B ,C` prove that: `Axx(B^(prime)uuC^(prime))^'=(AxxB)nn(AxxC)` `Axx(B^(prime)nnC^(prime))^'=(AxxB)uu(AxxC)`

A

`(AxxB)nn(AxxC)`

B

`(AxxB)uu(BxxC)`

C

`(AxxC)nn(BxxC)`

D

`(AxxC)uu(BxxC)`

Text Solution

Verified by Experts

The correct Answer is:
A
We have,
`Axx(B'uuC')=Axx(BnnC)=(AxxB)nn(AxxC)`
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OBJECTIVE RD SHARMA ENGLISH-CARTESIAN PRODUCT OF SETS AND RELATIONS -Section I - Solved Mcqs
  1. A and B are two non empty set having n element in common ; then prove ...

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  2. If Aa n dB are two sets having 3 elements in common. If n(A)=5,n(B)=4,...

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  3. For any three sets A ,B ,C prove that: Axx(B^(prime)uuC^(prime))^'=(A...

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  10. In the set Z of all integers, which of the following relation R is not...

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  11. Theorem 1(i) (For any three set A;B;C; prove that Axx(BuuC)=(AxxB)uu(A...

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  12. If A={x:x^(2)-5x+6=0},B={2,4},C={4,5} then find Axx(BnnC)

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  13. If A={a,b},B={c,d},C={d,e}, then {(a,c),(a,d),(a,e),(b,c),(b,d),(b,e)}...

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  14. If R is a relation on the set A={1,2,3} given by R={(1,1),(2,2),(3,3)}...

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  15. The relation R defined on the set A={1,\ 2,\ 3,\ 4,\ 5} by R={(a ,\ b)...

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  18. Let S be the set of all real numbers. Then , the relation R = {(a, b) ...

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