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mathslover

  • 3 years ago

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  1. mathslover
    • 3 years ago
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    If \(A\cup B = A\cup C\) and \(A \cap B = A \cap C\) . Prove that B = C

  2. shubhamsrg
    • 3 years ago
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    |dw:1364904134594:dw|

  3. shubhamsrg
    • 3 years ago
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    |dw:1364904215149:dw| |dw:1364904255497:dw|

  4. shubhamsrg
    • 3 years ago
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    both are given to be equal. which means, except for the common region, other parts should be equal. |dw:1364904349177:dw|

  5. shubhamsrg
    • 3 years ago
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    now take the case of intersection. am sure that must help your case ?

  6. mathslover
    • 3 years ago
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    Yes! It helped shubham, thanks a lot.

  7. shubhamsrg
    • 3 years ago
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    glad to help ^_^

  8. mathslover
    • 3 years ago
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    Glad to be helped by you Shubham :)

  9. shubhamsrg
    • 3 years ago
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    hehehehe..

  10. shubhamsrg
    • 3 years ago
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    glad to be helping you ! ;)

  11. mathslover
    • 3 years ago
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    Oh but can I say that as a proof?

  12. shubhamsrg
    • 3 years ago
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    sure, venn diagrams are concrete proofs.

  13. shubhamsrg
    • 3 years ago
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    well it isnt over yet of course, you got to take the intersection case as well.

  14. mathslover
    • 3 years ago
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    Ok! Got it

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