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

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

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Explore conceptually related problems

Let A={1,2}, B={1,2,3,4}, C={5,6} and D={5,6,7,8}. Verify that (i) A xx (B cap C)=(A xx B) cap (A xx C), (ii) A xx C is a subset of B xx D

If A, B and C be sets. Then, show that, A cap (B cup C) = (A cap B) cup (A cap C) .

n(U)= 150, n(A)= 75, n(B)= 57, n(C )= 65, n(A cap B)=37, n(A cap C)= 36, n(B cap C)= 25" and "n(A cap B cap C)= 19 , then find n(A cup B cup C), and "n(A' cup B' cup C') .

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

The set (A cap B')' cup (B cap C) is equal to

If A = {x : x is a natural number}, B = {x : x is an even natural number}, C = {x : x is an odd natural number} and D = {x : x is a prime number}, Find : (i) A cap B (ii) A cap C (iii) A cap D (iv) B cap C (v) B cap D (vi) C cap D .

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

A and B are two sets (A - B) cup (B - A) cup (A cap B)="……….."

For all sets A, B and C, if A sub B , then A cap C sub B cap C .

Let A={x : x is a natural number}, B ={x : x is an even natural number} C={x : x is an odd natural number and D={x : x is a prime number} Find A cap B, A cap C, A cap D, B cap C, B cap D and C cap D .

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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