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For any two sets of A and B, prove that:...

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

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W have to prove:- `A - (A cap B)=A- B`
LHS=`A-(A cap B)`
`A cap (A cap B)'`
`(A cap A') cup (A cap B')`
...
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RD SHARMA-SETS-Solved Examples And Exercises
  1. Find sets A, B and C such that A nnB , B nnC and A nnC are nonempty ...

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

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

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

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

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

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

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

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

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

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  11. In a group of 50 people, 35 speak Hindi, 25 speak both English and ...

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  12. Out of 500 car owners investigated, 400 owned car A and 200 owned c...

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  13. A market research group conducted a survey of 2000 consumers and re...

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  14. A survey shows that 63% of the Americans like cheese whereas 76% like ...

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  15. A college warded 38 medals in football, 15 in basketball and 20 in ...

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  16. If A and B are two sets such that n(AuuB)=50 ,\ n(A)=20\ a n d\ n(B)=3...

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  17. If X and Y are two sets such that X has 40 elements, X uuY has 60 e...

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  18. In a school there are 20 teachers who teach mathematics or physics....

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  19. In a group of 70 people, 37 like coffee, 52 like tea and each perso...

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  20. Let A and B be two sets such tat : n(A)=20 ,\ n(AuuB)=42\ a n d\ n(Ann...

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