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mathmath333

  • one year ago

Set Theory.

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  1. mathmath333
    • one year ago
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    \(\large \color{black}{\begin{align}& \normalsize \text{Let }\ A,B\ \text{and }C\ \text{be three sets. } \hspace{.33em}\\~\\ & \normalsize \text{If}\ A\in B\ \text{and}\ B\subset C,\hspace{.33em}\\~\\ & \normalsize \text{Is it true that }\ A\subset C\ ?\hspace{.33em}\\~\\ \end{align}}\)

  2. Loser66
    • one year ago
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    Sure

  3. mathmath333
    • one year ago
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    I have to show it with example

  4. Michele_Laino
    • one year ago
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    every element of A is also an element of B, and every element of B is also an element of C, so every element of A is an element of C

  5. Loser66
    • one year ago
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    |dw:1438616813096:dw|

  6. mathmath333
    • one year ago
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    Wait my book says it it false

  7. Michele_Laino
    • one year ago
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    also this example works well: |dw:1438616949711:dw|

  8. mathmath333
    • one year ago
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    wait let me show my book proof

  9. Loser66
    • one year ago
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    wwwwwwwwwwwat?? hahaha,.... then I failed!!

  10. mathmath333
    • one year ago
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  11. mathmath333
    • one year ago
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    |dw:1438617127714:dw|

  12. Loser66
    • one year ago
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    Yes!! it is perfect. I am sorry for my careless!! \(\in \neq \subset\)

  13. freckles
    • one year ago
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    A that little e thing B means A is an element of B and no a set can't be a element of another set it can be a subset of another set

  14. Michele_Laino
    • one year ago
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    the same of @Loser66, I'm very sorry @mathmath333

  15. Loser66
    • one year ago
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    hihihi.,.... no worry, everybody has mistake.

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