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Given X cupY={1,2,3,4} , X cup Z={2,3,4,...

Given `X cupY={1,2,3,4} , X cup Z={2,3,4,5}, X capY={2,3} and X cap Z ={2,4}`, find X,Y and Z.

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The correct Answer is:
`X={2,3,4}. Y={1,2,3}andZ={2,4,5}`
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CHHAYA PUBLICATION-SET THEORY -Long answer type questions
  1. If U={a,b,c,d,e,f} be the universal set and A,B,C are three subsets of...

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  2. If U={a,b,c,d,e,f} be the universal set and A,B,C are three subsets of...

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  3. Given X cupY={1,2,3,4} , X cup Z={2,3,4,5}, X capY={2,3} and X cap Z =...

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  4. Verify the following relations using Venn diagrams : (AcupB)cap(Acup...

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  5. Verify the following relations using Venn diagrams : Acap(B cupC)=(A...

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  6. Verify the following relations using Venn diagrams : (AcupB)^c=A^c c...

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  7. Verify the following relations using Venn diagrams : (AcapB)^c=A^c c...

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  8. Verify the following relations using Venn diagrams : A-(BcapC)=(A-B)...

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  9. Verify the following relations using Venn diagrams : A-(BcupC)=(A-B)...

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  10. Verify the following relations using Venn diagrams : (A-C)cap(B-C)=(...

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  11. Draw a Venn diagram of three non-empty sets A , B and C such that A ...

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  12. If A,B and C are three non-empty subsets of the universal set S, draw ...

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  13. For any three sets A , B and C prove the followings : A cup(BcapC)=(...

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  14. For any three sets A , B and C prove the followings : A cap(BcupC)=(...

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  15. For any three sets A , B and C prove the followings : Acup(BcupC)=(A...

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  16. For any three sets A , B and C prove the followings : Acap(BcapC)=(A...

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  17. For any three sets A , B and C prove the followings : (AcupB)^c=A^c ...

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  18. For any three sets A , B and C prove the followings : (AcapB)^c=A^c ...

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  19. For any three sets A , B and C prove the followings : A-(BcupC)=(A-B...

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  20. For any three sets A , B and C prove the followings : A-(BcapC)=(A -...

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