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Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} ...

Let `A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7}` . Verify the following identities: `Ann(Buu C)=(AnnB)uu(AnnC)`

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Given sets:-
`A={1,2,4,5},B={2,3,5,6},C={4,5,6,7}`
` A triangle B=(A-B) cup (B-A)`
`=> B triangle C=(B-C) cup (C-B)`
...
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Let A={1,2,4,5}B={2,3,5,6}C={4,5,6,7}* Verify the following identities: A-(B uu C)=(A-B)nn(A-C)

Let A={1,2,4,5}B={2,3,5,6}C={4,5,6,7}* Verify the following identities: A nn(B-C)=(A nn B)-(A nn C)

Let A={1,2,4,5}B={2,3,5,6}C={4,5,6,7}* Verify the following identities: A-(B nn C)=(A-B)uu(A-C)

Let A={1,2,4,5}B={2,3,5,6}C={4,5,6,7}* Verify the following identities: A uu(B nn C)=(A uu B)nn(A uu C)

Let X={1,2,3,...10},A={1,2,4,5},B={2,4,6,8,10}a n dC={2,3,4,5,6,7} verify the following results: Ann(BuuC)=(AnnB)uu(AnnC)

Let A ={1,2,4,5},B={2,3,5,6},C={4,5,6,7}.verify the following identity Acup(B cap C)=(A cup B) cap (A cup C)

If ={1,2,3,4,5,6},B={4,5,6,7,8},C={4,5,6}, then A nn B

Let X={1,2,3, , 10},A={1,2,3,4,5},B={1,3,5,7,9}a n dC={2,4,8, 10} , verify the following A-B=AnnB^c

If A = {1,2,3,4,5},B={2,3,5,6}andC={4,5,6,7} , then verify that : Acap(B-C)=(AcapB)-(AcapC) .

RD SHARMA-SETS-Solved Examples And Exercises
  1. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

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  2. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

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  3. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

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  4. For any two sets A\ a n d\ B ,\ prove that BsubAuuB

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  5. For any two sets A\ a n d\ B ,\ prove that AnnBsubA

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  6. For any two sets A\ a n d\ B ,\ prove that AsubB=>AnnB=A

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  7. Show that A nn B=A nn C need not imply B!=C

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  8. Show that if A subB , then C" "-" "BsubC" "-" "A .

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  9. Prove that Auu (Ann B)= A

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  10. For any two sets, prove that:\ Ann(AuuB)=A

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  11. Find sets A, B and C such that A nnB , B nnC and A nnC are nonempty ...

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  12. For any two sets A\ a n d\ B , prove that AnnB=phi=>AsubeB^(prime)dot

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  13. For any two sets of A and B, prove that: A^(prime)uuB=U=>AsubB

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  14. Is it true that for any sets A and B, P (A) uuP (B) =P(Auu B) ? Just...

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  15. If A and B are any two sets, then prove that (A nn B) uu (A-B)=A

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  16. Show that for any set A and B A = (AnnB)uu(A-B) and Auu(B-A) = (AuuB...

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  17. For any two sets A and B prove the following: Ann(A^(prime)uuB)=AnnB

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  18. For any two sets A and B prove the following: A-(A-B)=AnnB

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  19. For any two sets A and B prove the following: Ann(A^(\ )uuB)'=varphi

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  20. In a class of 35 students, 24 like to play cricket and 16 like to p...

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