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PixieDust1

  • 2 years ago

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  1. PixieDust1
    • 2 years ago
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    I got 0 idea how to solve this

  2. myininaya
    • 2 years ago
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    You don't have to solve anything. It is is asking which of the below statements are true.

  3. PixieDust1
    • 2 years ago
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    Or how to even see which statements are true. I got nothin'

  4. myininaya
    • 2 years ago
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    Every set is a subset of itself. - Empty set is a subset of every set. - Other Example: If A={1,2,3} and B={1,2} B is a subset of A because A has all of B's elements. A is not a subset of B because B does not have all the elements A has.

  5. myininaya
    • 2 years ago
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    So let's look at the first statement "W is a subset of Z" Do you think that is true?

  6. myininaya
    • 2 years ago
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    Does Z have all the elements that W has?

  7. PixieDust1
    • 2 years ago
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    It looks true to me!! All w are z, but not all z are w

  8. myininaya
    • 2 years ago
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    Yep that statement is true. Integers={...,-3,-2,-1,0,1,2,3,...} W={0,1,2,...} As we see the set of W is a subset of Z because W has the elements 0,1,2,... and these elements are also in Z. Now Z is not a subset of W because W does not have all the elements Z has.

  9. myininaya
    • 2 years ago
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    Do you think the real numbers are a subset of the whole numbers?

  10. PixieDust1
    • 2 years ago
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    That makes sense!! Thanks! :D Based on that, I think #2 is true All r is w, but all w is not r

  11. PixieDust1
    • 2 years ago
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    Yes

  12. myininaya
    • 2 years ago
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    Well the real numbers are definitely not a subset of the whole numbers.

  13. myininaya
    • 2 years ago
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    The real numbers include numbers that aren't in the set of whole numbers like sqrt(5) and pi and so on...

  14. myininaya
    • 2 years ago
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    Now you could say the whole numbers is a subset of the real numbers.

  15. PixieDust1
    • 2 years ago
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    Oh i forgot! Silly me! I get confused very quickly. That makes sense to me!

  16. PixieDust1
    • 2 years ago
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    What does the "e" mean on the next one?

  17. myininaya
    • 2 years ago
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    I think your e there is suppose to mean an element of, but that isn;'t the traditional symbol for it that you are using.

  18. myininaya
    • 2 years ago
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    |dw:1387243116999:dw| The symbol should look more like this.

  19. PixieDust1
    • 2 years ago
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    Yeah, I used the standard keyboard symbol for the regular e. The e you drew is what it was suppose to look like :)

  20. myininaya
    • 2 years ago
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    So that statement is asking you if you think that element 0 is in the set of integers

  21. myininaya
    • 2 years ago
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    The integers are {...,-3,-2,-1,0,1,2,3...} Do you think 0 is in that set?

  22. PixieDust1
    • 2 years ago
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    Yuppers!

  23. myininaya
    • 2 years ago
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    what about 5000?

  24. PixieDust1
    • 2 years ago
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    Yup! Forever and ever and ever and ever and ever ....

  25. PixieDust1
    • 2 years ago
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    In both directions :D

  26. myininaya
    • 2 years ago
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    Those dots mean it continues on in both directions.. Good stuff. Okay so that one you say is true.

  27. PixieDust1
    • 2 years ago
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    I think so!

  28. myininaya
    • 2 years ago
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    So do you know what that other symbol means in the next statement?

  29. PixieDust1
    • 2 years ago
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    Hmmm... maybe it means like no value?

  30. PixieDust1
    • 2 years ago
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    I saw it in the textbook, but they never told us what it meant They just started using it

  31. myininaya
    • 2 years ago
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    \[\emptyset=\{ \text{ } \}=\text{ empty set } \] This basically means there are no elements contained within the set.

  32. myininaya
    • 2 years ago
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    It is totally empty and no you do not say 0 is element of the empty set. There are no elements in the empty set not even 0.

  33. PixieDust1
    • 2 years ago
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    But its apart of every set, right?

  34. myininaya
    • 2 years ago
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    It is a subset of every set.

  35. PixieDust1
    • 2 years ago
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    okay! So then would that make them true?

  36. myininaya
    • 2 years ago
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    Yep

  37. PixieDust1
    • 2 years ago
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    Cool! I didn't understand what the line under the c on the next one is

  38. myininaya
    • 2 years ago
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    equal

  39. PixieDust1
    • 2 years ago
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    |dw:1387243554944:dw|

  40. myininaya
    • 2 years ago
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    Like I'm saying that equal sign means they could be equal. Like they have the same exact elements in both sets.

  41. myininaya
    • 2 years ago
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    Is that true? Are these the same sets?

  42. PixieDust1
    • 2 years ago
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    I don't think so

  43. PixieDust1
    • 2 years ago
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    Oh wait!!! I think they may be!

  44. myininaya
    • 2 years ago
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    So what is the whole numbers then if it isn't {0,1,2,...}

  45. PixieDust1
    • 2 years ago
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    there wouldn't be any

  46. myininaya
    • 2 years ago
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    what?

  47. myininaya
    • 2 years ago
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    The whole numbers are defined for you in your problem

  48. PixieDust1
    • 2 years ago
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    Isn't 0,1,2 etc whole numbers?

  49. myininaya
    • 2 years ago
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    Yes so back to your question, |dw:1387243864499:dw| are these the same sets on both sides of that "weird symbol"?

  50. PixieDust1
    • 2 years ago
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    Oh yeah!

  51. myininaya
    • 2 years ago
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    that little line just means they can have all the exact same elements (talking about both sets; both sets can be exactly the same when you have symbol)

  52. PixieDust1
    • 2 years ago
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    oh! So it's kinda like an equal sign (in a way)? If so, I think this is true

  53. myininaya
    • 2 years ago
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    Yep It means it can be a subset of that set or subset of that set that is that set (or equal)

  54. myininaya
    • 2 years ago
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    The last one, can you tell me the answer?

  55. PixieDust1
    • 2 years ago
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    For the last one, i think it is false. -2 is not equal to W (a whole number)

  56. myininaya
    • 2 years ago
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    You are right to say false. But doesn't say "-2 is not equal to W" Say "-2 is not en element of W" This just means the set W does not include -2 as an element.

  57. PixieDust1
    • 2 years ago
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    Oh yeah! Because its the element that includes the entire w

  58. myininaya
    • 2 years ago
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    People sometimes use this notation to say it is not an element of : |dw:1387244283183:dw|

  59. myininaya
    • 2 years ago
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    They just put a mark through the sign that means an element of to say that it is not an element of

  60. PixieDust1
    • 2 years ago
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    Oh wow

  61. PixieDust1
    • 2 years ago
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    Thank you SOOOOO much for helping me out!

  62. PixieDust1
    • 2 years ago
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    I really understand this now

  63. PixieDust1
    • 2 years ago
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    :D

  64. myininaya
    • 2 years ago
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    No problem. Cool stuff. I'm glad you do. May the force be with you in your future math studies!

  65. PixieDust1
    • 2 years ago
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    Thanks! Have an awesome day :D

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