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If A,B,C be three subsets of the univers...

If A,B,C be three subsets of the universal set S where
`S={1,2,3,4,5,6,7},A={1,3,5,6} and BcapC={1,2,6}`, find `(A cupB) cap(A cupC) and B^c cupC^c.`

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The correct Answer is:
`(AcupB) cap(A cupC)={1,2,3,4,5,6} and B^c cupC^c = {3,4,5,7}`
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CHHAYA PUBLICATION-SET THEORY -Long answer type questions
  1. If P={p,q,r,s,t,u} and Q capR={q,r,v,w}, find (P cup Q) cap(PcupR)

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  2. If P={p,q,r,s,t,u} and Q capR={q,r,v,w}, find (P-Q)cup(P-R)

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  3. If A,B,C be three subsets of the universal set S where S={1,2,3,4,5,...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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