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

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.

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If A, B and C are any three sets, then prove that : A nn (B-C) = (A nn B)-(A nn C) .

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

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Prove that A uu B= A nn B implies A=B.

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JBD PUBLICATION-SETS-EXAMPLE
  1. Using properties of sets, prove that A-(AcapB)=A-B

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  2. A,B,C are three sets. Determine whether the following are True or Fals...

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

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

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  5. Given L={1,2,3,4}, M={3,4,5,6} and N={1,3,5} Verify that L-(McupN)=(L-...

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  6. Prove the De-Morgan's laws: (AcupB)'=A'capB'

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  7. Prove the De-Morgan's laws: (AcupB)'=A'capB'

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  8. If U ={1,2, 3, 4, 5, 6, 7, 8, 9 }, A = {2, 4, 6, 8} and B = { 2, 3, 5,...

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  9. If U ={1,2, 3, 4, 5, 6, 7, 8, 9 }, A = {2, 4, 6, 8} and B = { 2, 3, 5,...

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  10. Let U be the set of all triangles in a plane. If A is the set of all t...

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  11. Prove that:<b>AsubeBimpliesB'subeA'

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  12. Prove that:<b>AsubeB iff B'subeA'

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  13. Draw the Venn Diagram for the following: A'cap(BcupC)

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  14. Draw the Venn Diagram for the following: A'cap(C-B).

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  15. In a group of 400 people, 250 can speak Hindi and 200 can speak Englis...

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  16. In a group of people, 50 speak both English and Hindi and 30 speak Eng...

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  17. In a group of 950 residents of a locality every resident is fond of re...

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  18. In a group of 950 residents of a locality every resident is fond of re...

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  19. In a group of 950 residents of a locality every resident is fond of re...

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

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