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

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

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`A - (B cup C)= (A - B) cap (A - C)`
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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-SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)
  1. If X= {1, 2, 3}, if n represents any member of X, write the following ...

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  2. If X= {1, 2, 3}, if n represents any member of X, write the following ...

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  3. If X= {1, 2, 3}, if n represents any member of X, write the following ...

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  4. If X= {1, 2, 3}, if n represents any member of X, write the following ...

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  5. If Y= {1, 2, 3,………..,10} and a represents any element of Y, write the ...

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  6. If Y= {1, 2, 3,………..,10} and a represents any element of Y, write the ...

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  7. If Y= {1, 2, 3,………..,10} and a represents any element of Y, write the ...

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  8. A, B and C are subset of universal set cup. If A= {2, 4, 6, 8, 12, 20}...

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  9. Let cup be the set of all boys and girls in a school, G be the set of ...

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

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

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

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

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

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  15. For all sets A, B and C, if A sub C" and "B sub C, then A cup B sub C.

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

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

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

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

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  20. Let T= {x|(x+5)/(x-7)-5 = (4x-40)/(13-x)}. Is T an empty set ? Justify...

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