mathslover
  • mathslover
Sets question.
Mathematics
schrodinger
  • schrodinger
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mathslover
  • mathslover
If \(A\cup B = A\cup C\) and \(A \cap B = A \cap C\) . Prove that B = C
shubhamsrg
  • shubhamsrg
|dw:1364904134594:dw|
shubhamsrg
  • shubhamsrg
|dw:1364904215149:dw| |dw:1364904255497:dw|

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shubhamsrg
  • shubhamsrg
both are given to be equal. which means, except for the common region, other parts should be equal. |dw:1364904349177:dw|
shubhamsrg
  • shubhamsrg
now take the case of intersection. am sure that must help your case ?
mathslover
  • mathslover
Yes! It helped shubham, thanks a lot.
shubhamsrg
  • shubhamsrg
glad to help ^_^
mathslover
  • mathslover
Glad to be helped by you Shubham :)
shubhamsrg
  • shubhamsrg
hehehehe..
shubhamsrg
  • shubhamsrg
glad to be helping you ! ;)
mathslover
  • mathslover
Oh but can I say that as a proof?
shubhamsrg
  • shubhamsrg
sure, venn diagrams are concrete proofs.
shubhamsrg
  • shubhamsrg
well it isnt over yet of course, you got to take the intersection case as well.
mathslover
  • mathslover
Ok! Got it

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