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anonymous

  • one year ago

Which solution set describes the set of integers less than or equal to -1?

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  1. anonymous
    • one year ago
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    @jim_thompson5910

  2. jim_thompson5910
    • one year ago
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    I'm guessing when they say "Which solution set ", they are offering a list of choices?

  3. anonymous
    • one year ago
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    Yes! drawing them right now:)

  4. anonymous
    • one year ago
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    |dw:1443324314598:dw|

  5. anonymous
    • one year ago
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    Sorry about the bad drawing.

  6. jim_thompson5910
    • one year ago
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    it's ok

  7. jim_thompson5910
    • one year ago
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    the first one has a Z in it?

  8. anonymous
    • one year ago
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    Yes!

  9. jim_thompson5910
    • one year ago
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    the big R means "real numbers" a real number is any decimal number you can think of eg: 2.7562

  10. jim_thompson5910
    • one year ago
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    the big Z means "integers". Why didn't they use capital i? well i is reserved for later math courses, so Z is used instead but why Z? It turns out that `Z is for Zahlen - the German word for integers` http://mathforum.org/library/drmath/view/53922.html I guess when the math notation was developed, a German mathematician was the one who came up with the set of integers

  11. anonymous
    • one year ago
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    -1 wouldn't be a real number? I thought real numbers, were like natural numbers. Example; 1,2,3,4 etc

  12. jim_thompson5910
    • one year ago
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    negative numbers are also real numbers eg: -2.87 is a real number

  13. anonymous
    • one year ago
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    I know I'm wrong. Just looked at my notes.

  14. anonymous
    • one year ago
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    So its between 2 and 3 then?

  15. jim_thompson5910
    • one year ago
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    well we wouldn't use R because we don't want real numbers we want integers

  16. jim_thompson5910
    • one year ago
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    we use Z for the set of integers

  17. anonymous
    • one year ago
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    So number one?

  18. jim_thompson5910
    • one year ago
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    |dw:1443238883932:dw|

  19. jim_thompson5910
    • one year ago
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    |dw:1443238904937:dw|

  20. jim_thompson5910
    • one year ago
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    yeah it's the first one and hopefully you see why based on what I posted above

  21. anonymous
    • one year ago
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    |dw:1443325104010:dw|

  22. anonymous
    • one year ago
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    I also have this possible answer.

  23. jim_thompson5910
    • one year ago
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    it states ` less than or equal to -1` the key part to look out for is the `or equal to`

  24. anonymous
    • one year ago
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    And only the first one demonstrates that?

  25. jim_thompson5910
    • one year ago
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    the one with \[\Large \{x|x\in\mathbb{Z} \ \text{ and } x \le -1\}\] whichever one that is

  26. anonymous
    • one year ago
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    Thats the first one:)

  27. jim_thompson5910
    • one year ago
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    \[\LARGE \overset{\color{red}{<}}{\color{blue}{\_}} \text{ means } \color{red}{\text{greater than}} \ \color{blue}{\text{or equal to}}\]

  28. jim_thompson5910
    • one year ago
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    ok just checking, yeah the first one is the answer

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