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

Show that `A nn B=A nn C` need not imply `B=C`

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Let A , B and C be the sets such that A uu B=A uu C and A nn B = A nn C . show that B=C

Let A , B and C be the sets such that A uu B=A uu C and A nn B = A nn C . show that B=C

Let A = (a,b,c),B= (b,d,e) and C = (e,f,g) , verify that : ( A nn B ) nn C = A nn (B nn C )

Using properties of sets, show that (i) A uu ( A nn B) = A (ii) A nn (A uu B) =A .

Let A and B be sets. If A nnX = B nnX =varphi and A uuX = B uuX for some set X, show that A = B .(Hints A = A nn(A uuX), B = B nn(B uuX) and use Distributive law)

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RD SHARMA ENGLISH-SETS-All Questions
  1. For any two sets A\ a n d\ B ,\ prove that AnnBsubA

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

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  3. Show that A nn B=A nn C need not imply B=C

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

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  5. Prove that Auu (Ann B)= A

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

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

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

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

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  10. For any two sets of A and B, prove that: B^(prime)uuA '=>AsubB

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  11. Two identical blocks A and B, each of mass m=3kg, are connected with t...

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

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  13. Show that for any sets A and B ; A = (AnnB)uu(A-B) and Auu(B-A) = (...

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

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

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

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

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

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

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

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