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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(B-C)=(AnnB)-(AnnC)`

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`( B cap C)={x:x in B and x in C}
`={5,6}`
`(A-(B cap C)`
`A- (B cap C)` is defined as { x in A:x notin ( B cup C)}`
...
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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 nn(BC)=(A nn B)(A nn C)

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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 uu(B nn C)=(A uu B)nn(A uu C)

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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)

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) .

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RD SHARMA-SETS-Solved Examples And Exercises
  1. Find the smallest set A such that Auu{1,2}={1,2,3,5,9}dot

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

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

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

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

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

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

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

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

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  12. Prove that Auu (Ann B)= A

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

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

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

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

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

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

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

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

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