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

Let `A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7}` . Verify the following identities: `Auu(BnnC)=(AuuB)nn(AuuC)`

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The given sets are:
`A={1,2,4,5}`,`B={2,3,5,6}`and`C={4,5,6,7}`
`:.` `AB=(A-B) cup (B-A)`
`BC=(B-C) cup (C-B)`
...
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Let X={1,2,3,...10},A={1,2,4,5},B={2,4,6,8,10}a n dC={2,3,4,5,6,7} verify the following results: Auu(BuuC)=(AuuB)uuCdot

(a) LetA= {1,2,3,4} ,B = {4,6,7,8,9} and C= {2,3,4,6,8} . Verify the following indentities : (i) (AuuB)uuC=Auu(BuuC) (ii) (AcapB)capC=Acap(BcapC)

If ={1,2,3,4,5,6},B={4,5,6,7,8},C={4,5,6}, then A nn B

Let A={1,2},B={1,2,3,4},C={5,6}and D={5,6,7,8}. Verify that: (i) Axx(B nn C)=(AxxB)nn(AxxC) . (ii) AxxC is a subset of BxxD .

RD SHARMA-SETS-Solved Examples And Exercises
  1. If a in N such that a N={a x : x in N} . Describe the set 3Nnn7Ndot

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

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

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

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

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

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

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

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

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  13. Prove that Auu (Ann B)= A

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

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

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

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

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

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  19. If A and B are any two sets, then prove that (A nn B) uu (A-B)=A

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  20. Show that for any set A and B A = (AnnB)uu(A-B) and Auu(B-A) = (AuuB...

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