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For any two sets A and B, prove that A c...

For any two sets A and B, prove that `A cup B= A cap B iff A = B`.

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For all sets A and B, A - (A - B) = A cap B .

For all sets A and B, A cup (B - A) = A cup B .

For all sets A and B, (A - B) cup (A cap B)= A .

For any sets A and B, show that P ( A ∩ B ) = P ( A ) ∩ P ( B ) .

If A and B are any two sets, prove that P(A) = P(B) implies A = B.

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For all sets A and B, (A cup B) - B = A - B .

Show that for any sets A and B, A = ( A ∩ B ) ∪ ( A – B ) and A ∪ ( B – A ) = ( A ∪ B )

A and B are two sets. (A - B) cup B= A if and only if B sub A .

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KUMAR PRAKASHAN-SETS-PRACTICE WORK
  1. Taking the set of natural numbers as the universal set, write down the...

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  2. U= {x|x in N, 1 le x le 10}, A= {1, 3, 5, 7, 9}" and "B= {2, 5, 8}. Ve...

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  3. Fill in the blanks to make each of the following a true statement : ...

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  4. Fill in the blanks to make each of the following a true statement : ...

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  5. Fill in the blanks to make each of the following a true statement : ...

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  6. Fill in the blanks to make each of the following a true statement : ...

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  7. Fill in the blanks to make each of the following a true statement : ...

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  8. Fill in the blanks to make each of the following a true statement : ...

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  9. In a town, 20% population travel by car, 50% travel by bus and 10% pop...

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  10. Out of 100 students, 55 passed in Mathematics and 67 passed in Physics...

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  11. In a survey of a society, 1000 people speak Gujarati or Hindi. 50% peo...

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

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  13. If A and B be two sets containing 3 and 6 elements respectively. What ...

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  14. In a twon of 840 persons, 450 persons read Hindi 300 read English and ...

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  15. There are 880 boys in a school. Out of these 224 boys play cricket, 24...

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  16. A students has freedom to study any subject of his choice. In a group ...

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  17. In a class of 30 students, 12 students like emboidary, 16 students lik...

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  18. A and B are two sets. (A - B) cup B= A if and only if B sub A.

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  19. A - (B capC) = (A - B) cap (A-C) .

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  20. For any two sets A and B, prove that A cup B= A cap B iff A = B.

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