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Prove by Venn diagram: A cap ( B cupC)...

Prove by Venn diagram:
`A cap ( B cupC)=(A cap B)cup(A cap C)`,

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Prove the following operations by Venn diagrams, A cap( B cupC)=(A cap B) cup (A cap C)

Prove by Venn diagram: Acup(B cap C)=(A cupB)cap(A cup C) ,

Given A={1,2,3}, B={2,4} ,C={2,3,5}. B cup C and A cap (B cupC). Hence, verify the result A cap (B cup C) =(A cap B) cup(A capC).

For any three sets A, B, C, Prove that A cap(BcupC)=(AcapB)cup (A cap C) .

The dual of A cup(BcapC)=(A cupB)cap(A cupC) is____

Verify the following relations using Venn diagrams : A-(BcupC)=(A-B) cap(A-C)

Verify the following relations using Venn diagrams : (AcupB)cap(AcupC)=Acup(BcapC)

Which is the simplified representation of (A' cap B' cap C) cup (B cap C ) cup (A cap C) where A,B and C are subsets of set X

For any three sets A,B,C prove that following , A cup B = (A-B) cup (B-A) cup (A cap B)

For any three sets A,B and C, prove that, A cap (B-C)=(A capB)-(A cap C)

CALCUTTA BOOK HOUSE-SET THEORY-EXERCISE-1
  1. Express the following statements by set symbols, The set S consists ...

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  2. Which of the sets of the following sets are null sets? Give reasons in...

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  3. Which of the sets of the following sets are null sets? Give reasons in...

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  4. Which of the sets of the following sets are null sets? Give reasons in...

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  5. Which of the sets of the following sets are null sets? Give reasons in...

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  6. Write with reasons whether the following pair of sets are equal or not...

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  7. Write with reasons whether the following pair of sets are equal or not...

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  8. Write with reasons whether the following pair of sets are equal or not...

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  9. Write with reasons whether the following pair of sets are equal or not...

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  10. Find which of the following sets are infinite and which are infinite s...

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  11. Find which of the following sets are infinite and which are infinite s...

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  12. Find which of the following sets are finite and which are infinite set...

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  13. Find which of the following sets are infinite and which are infinite s...

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  14. IF A={1,3,5,7} and B={2,3,4,5} then find A cup B,

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  15. IF A={1,3,5,7} and B={2,3,4,5} then find A cap B,

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  16. IF A={1,2,3,4,5} and U={0,1,2,3,4,5,6,7,8,9}, then find A^c.

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  17. Prove by Venn diagram: Acup(B cap C)=(A cupB)cap(A cup C),

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  18. Prove by Venn diagram: (A cup B)^c=A^c capB^c

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  19. Prove by Venn diagram: A cap ( B cupC)=(A cap B)cup(A cap C),

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  20. Prove by Venn diagram: (A cap B)^c=A^c cupB^c

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