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If `a in N` such that `a N={a x : x in N}` . Describe the set `3Nnn7Ndot`

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To solve the problem, we need to describe the set \( 3N \cap 7N \), where \( N \) represents the set of natural numbers. ### Step-by-Step Solution: 1. **Define the Sets**: - The set \( 3N \) is defined as \( 3N = \{ 3x : x \in N \} \). This means it includes all multiples of 3. - The set \( 7N \) is defined as \( 7N = \{ 7y : y \in N \} \). This means it includes all multiples of 7. ...
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RD SHARMA-SETS-Solved Examples And Exercises
  1. For any two sets A and B, Ann(AuuB ') is equal to A b. B c. phi d. Ann...

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  2. The set (A uu B')uu(B nn C) is equal to

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  3. If a in N such that a N={a x : x in N} . Describe the set 3Nnn7Ndot

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  4. Find the smallest set A such that Auu{1,2}={1,2,3,5,9}dot

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  5. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

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  6. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

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  7. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

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  8. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

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  9. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

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  10. For any two sets A\ a n d\ B ,\ prove that BsubAuuB

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  11. For any two sets A\ a n d\ B ,\ prove that AnnBsubA

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  12. For any two sets A\ a n d\ B ,\ prove that AsubB=>AnnB=A

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  13. Show that A nn B=A nn C need not imply B!=C

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  14. Show that if A subB , then C" "-" "BsubC" "-" "A .

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  15. Prove that Auu (Ann B)= A

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  16. For any two sets, prove that:\ Ann(AuuB)=A

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  17. Find sets A, B and C such that A nnB , B nnC and A nnC are nonempty ...

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  18. For any two sets A\ a n d\ B , prove that AnnB=phi=>AsubeB^(prime)dot

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  19. For any two sets of A and B, prove that: A^(prime)uuB=U=>AsubB

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  20. Is it true that for any sets A and B, P (A) uuP (B) =P(Auu B) ? Just...

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