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tux Group Title

A∩(B-C)=(A∩B)-(A∩C). Using algebraic proof I got (A∩B)∩(A-C).

  • 2 years ago
  • 2 years ago

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  1. sauravshakya Group Title
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    |dw:1346329193067:dw|

    • 2 years ago
  2. sauravshakya Group Title
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    |dw:1346329377564:dw|

    • 2 years ago
  3. sauravshakya Group Title
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    Now, A∩(B-C)

    • 2 years ago
  4. sauravshakya Group Title
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    |dw:1346329433857:dw|

    • 2 years ago
  5. sauravshakya Group Title
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    |dw:1346329493645:dw|Similarly, proceed step by step u will get

    • 2 years ago
  6. sauravshakya Group Title
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    Thus, proved

    • 2 years ago
  7. tux Group Title
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    My problem is I need to prove it using set laws (commutative, associative ...)

    • 2 years ago
  8. Mikael Group Title
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    Translate to set algebra \[\cup \rightarrow +\] |dw:1346351911567:dw|

    • 2 years ago
  9. Mikael Group Title
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    |dw:1346351955786:dw|

    • 2 years ago
  10. Mikael Group Title
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    translate to this notation your problem, THEN open all parantheses, THEN gather like terms, THEN translate back to Set theory notation

    • 2 years ago
  11. Mikael Group Title
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    Also (forgoT)|dw:1346352053975:dw|

    • 2 years ago
  12. Mikael Group Title
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    |dw:1346352107065:dw|

    • 2 years ago
  13. Mikael Group Title
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    |dw:1346352172712:dw|

    • 2 years ago
  14. Mikael Group Title
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    Whatever form is more convenient for the right hand side expression

    • 2 years ago
  15. Mikael Group Title
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    USe also |dw:1346352282882:dw|

    • 2 years ago
  16. tux Group Title
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    B-C rewritten as B∩C^c A∩(B∩C^c) A rewritten as A∩A A∩A∩B∩C^c Associative law (A∩B)∩(A∩C^c) My result: (A∩B)∩(A-C)

    • 2 years ago
  17. tux Group Title
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    @sauravshakya We start with left side A∩(B-C) and must prove (A∩B)-(A∩C) Solution is (A∩B)-(A∩C) which must be proved As a wrong result I got (A∩B)∩(A-C).

    • 2 years ago
  18. Mikael Group Title
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    I suggest u try boolean algebra

    • 2 years ago
  19. Mikael Group Title
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    In the representation I have showed above all is solved easy

    • 2 years ago
  20. Mikael Group Title
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    shown (typo)

    • 2 years ago
  21. tux Group Title
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    I am not allowed to use complement definition 1-A

    • 2 years ago
  22. farmdawgnation Group Title
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    @IAmCool Please do not go into other's threads asking for help on your question, it's considered spam.

    • one year ago
  23. zzr0ck3r Group Title
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    @sauravshakya @tux @Mikael ....I think you guys were making this way to hard.

    • one year ago
  24. sauravshakya Group Title
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    ?

    • one year ago
  25. zzr0ck3r Group Title
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    • one year ago
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