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UnkleRhaukus

  • 2 years ago

\[(1,2)\cap[2,3)=\] @estudier

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  1. UnkleRhaukus
    • 2 years ago
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    can you confirm the solution is the empty set?

  2. estudier
    • 2 years ago
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    2 included in 1 and not the other so nothing in common.

  3. ParthKohli
    • 2 years ago
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    An arbitrary element \(\phi\) will always fulfil the condition \(\phi <2\) in set \((1,2)\). An arbitrary element \(\psi\) will always fulfil the condition \(\psi \ge 2 \) in set \([2,3)\). So, \(\rm \psi \ge 2>\phi\). Therefore, there is no common element.

  4. estudier
    • 2 years ago
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    They are not really sets....

  5. ParthKohli
    • 2 years ago
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    They are. :p

  6. UnkleRhaukus
    • 2 years ago
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    intervals

  7. ParthKohli
    • 2 years ago
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    Intervals are sets.

  8. UnkleRhaukus
    • 2 years ago
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    an interval in set on an infinite number of points

  9. estudier
    • 2 years ago
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    @ParthKohli (1,2) What set is this?

  10. ParthKohli
    • 2 years ago
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    {1.000000000000.....1, 1.000000......2 ..... 1.99999999999999........9}

  11. estudier
    • 2 years ago
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    Maybe, it wasn't actually defined...

  12. UnkleRhaukus
    • 2 years ago
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    \[x\in\mathbb R[1<x<2)]\]

  13. ParthKohli
    • 2 years ago
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    The interval (1,2) can be interpreted as a set containing numbers between and not including 1 and 2.

  14. Zarkon
    • 2 years ago
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    \[(1,2)=\{x\in\mathbb{R}|1<x<2\}\]

  15. ParthKohli
    • 2 years ago
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    Yes, the set builder notation.

  16. UnkleRhaukus
    • 2 years ago
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    yeah

  17. UnkleRhaukus
    • 2 years ago
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    thats what i ment @Zarkon

  18. ParthKohli
    • 2 years ago
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    In this case, we have \(\phi \) instead.\[(1,2) = \{\phi \in \mathbb R |1<\phi <2\}\]Doesn't make a lot of difference either...

  19. UnkleRhaukus
    • 2 years ago
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    what is phi?

  20. ParthKohli
    • 2 years ago
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    An arbitrary element in \((1,2)\).

  21. ParthKohli
    • 2 years ago
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    Or if you're asking it that way, phi is a Greek letter.

  22. UnkleRhaukus
    • 2 years ago
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    strange choice of dummy variable

  23. ParthKohli
    • 2 years ago
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    Greece is a country located in the east, precisely the Asian continent.

  24. UnkleRhaukus
    • 2 years ago
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    i did not know that

  25. UnkleRhaukus
    • 2 years ago
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    so i was right? \[(1,2)\cap[2,3)=\emptyset\]

  26. ParthKohli
    • 2 years ago
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    It's actually in Eurasia - Europe.

  27. ParthKohli
    • 2 years ago
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    Yes, my lad.

  28. UnkleRhaukus
    • 2 years ago
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    not you

  29. ParthKohli
    • 2 years ago
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    I wasn't right? I was.

  30. estudier
    • 2 years ago
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    I said u were right back on the second post...

  31. UnkleRhaukus
    • 2 years ago
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    you dont know which way is east parth

  32. ParthKohli
    • 2 years ago
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    Eastern Hemisphere. Okay?

  33. UnkleRhaukus
    • 2 years ago
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    ok

  34. UnkleRhaukus
    • 2 years ago
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    thanks all,

  35. ParthKohli
    • 2 years ago
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    You're welcome.

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