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Show that if A subB , then C" "-" "Bsub...

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

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Let `A sub B`
Let `x in (C-B) => x in C and notin B`
`=> x in C and notin A(:. A sub C)`
`=> x in (C-A)`
...
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RD SHARMA-SETS-Solved Examples And Exercises
  1. For any two sets A\ a n d\ B ,\ prove that AsubB=>AnnB=A

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

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

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  4. Prove that Auu (Ann B)= A

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

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

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

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

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

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

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

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  12. For any two sets A and B prove the following: Ann(A^(prime)uuB)=AnnB

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  13. For any two sets A and B prove the following: A-(A-B)=AnnB

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  14. For any two sets A and B prove the following: Ann(A^(\ )uuB)'=varphi

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  15. In a class of 35 students, 24 like to play cricket and 16 like to p...

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  16. In a group of 50 people, 35 speak Hindi, 25 speak both English and ...

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  17. Out of 500 car owners investigated, 400 owned car A and 200 owned c...

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  18. A market research group conducted a survey of 2000 consumers and re...

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  19. A survey shows that 63% of the Americans like cheese whereas 76% like ...

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  20. A college warded 38 medals in football, 15 in basketball and 20 in ...

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