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Let A and B be sets. If A cap X = B cap ...

Let A and B be sets. If `A cap X = B cap X = phi` and `A cup X = B cup X` for some set X, show that A = B

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V PUBLICATION-SETS-QUESTION BANK
  1. Using properties of sets, show that i) 'A ⋃(A ⋂ B)=A' ii) 'A ⋂(A ⋃ B)=...

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  2. Show that A cap B = A cap C need not imply B = C

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  3. Let A and B be sets. If A cap X = B cap X = phi and A cup X = B cup X ...

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  4. Find sets A,B and C such that A cap B,B cap C and A cap C are non-empt...

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  5. In a survey of 600 students in a school,150 students were found to be ...

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  6. In a group of students, 100 students know Hindi, 50 know English and 3...

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  7. In a suryey of 60 people, it was.found that 25 people read newspaper' ...

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  8. In a survey it was found that 21 people liked product A,26 liked produ...

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  9. In a class of 35 students, 17 have taken mathematics, 10 have taken mä...

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  10. In a group of 800 people, 550 can speak Hindi and 450 can speak Englis...

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  11. If 'A' and 'B' ' be two sets containing 3 and 6 elements respectively,...

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  12. If 'U={1,3,5,7,9,11,13,15}, A={1,5,11,13 , 15}', Find A'.

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  13. If 'A={1,2,3} , B={3,4,-5}, C={1,8,9}'. Construct a ụniversal set 'U'

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  14. Which of the following sets are empty sets? i) A={x: x^2-3=0. and x ...

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  15. Write the following sets in roster form and identify equal sets ( if a...

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  16. State which of the following sets are finite and which are infinite: ...

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  17. Write the set 'A={ x: x in Z, x^2 < 20}' in the roster form.

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  18. Write the set 'X={1, 1/4, 1/9, 1/16, 1/25, …}.' in the set builder for...

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  19. Match each of the set in A described in the roster form with the same ...

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  20. A town has total population. 25000 out of which 13000 read ''The Hindu...

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