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For any natural number a,we define aN={a...

For any natural number a,we define aN={ax:x in N}. If b,c,d in N such that bN uu cN=dN, then prove that d = bc

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RD SHARMA ENGLISH-SETS-All Questions
  1. The set (A uu B')' uu(B nn C) is equal to

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

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  3. For any natural number a,we define aN={ax:x in N}. If b,c,d in N such ...

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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=varphi=>AsubeB^(prime)d...

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

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