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Prove by Venn diagram: Acup(B cap C)=(...

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

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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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