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anonymous

  • one year ago

Interval notation of domain:at most -6

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  1. anonymous
    • one year ago
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    @mathmate

  2. mathmate
    • one year ago
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    |dw:1440459096813:dw| Does that help?

  3. anonymous
    • one year ago
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    Kinda but I still don't really know how to write it??

  4. anonymous
    • one year ago
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    Like for the set notation I got x/x>=-6

  5. anonymous
    • one year ago
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    Ok let's move onto a different on then?

  6. mathmate
    • one year ago
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    Interval notation basically gives the lower and upper bounds. For example, for a range of real numbers between 4 and 6, inclusive, we write [4,6]. If it is exclusive, we use ( or ) instead, for example, for x>3, then we write x\(\in\) (3,\(\infty\)), because both 3 and infinity are not included. (Infinity is not a real number).

  7. anonymous
    • one year ago
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    ok so what would the answer be in this problem? (\[\infty,6\]

  8. mathmate
    • one year ago
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    Yes, but you need the appropriate brackets around the two numbers (separated by a comma, as you correctly did).

  9. mathmate
    • one year ago
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    The interval excludes -\(\infty\) but includes -6. Can you find the appropriate brackets?

  10. anonymous
    • one year ago
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    I can't fine them in the equation box?

  11. anonymous
    • one year ago
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    |dw:1440459864333:dw|

  12. mathmate
    • one year ago
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    The left one should be a (, because -\(\infty\) is not a number, so must be excluded.

  13. anonymous
    • one year ago
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    Thanks! I dont understand this last one: 4x-8>-12 and 5x-1<=9 in set notation

  14. mathmate
    • one year ago
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    Have you solved for x yet?

  15. anonymous
    • one year ago
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    yes x>-1 and 2<=x

  16. mathmate
    • one year ago
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    Good! Can you show that on a number line? In interval notation, it would be (-1,2]

  17. anonymous
    • one year ago
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    |dw:1440460335843:dw|

  18. mathmate
    • one year ago
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    Good! For the previous problem in set notation, it would be \(\{x\in R | -\infty<x\le -6\}\) Because { } enclose a set of numbers that belong to a set, e.g. {1,2,3}. Here you define x as a real number, such that -inf<x<=-6, all of them belonging to the set. Here's a very easy to read article: http://www.sosmath.com/algebra/inequalities/ineq02/ineq02.html

  19. anonymous
    • one year ago
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    Thank-you :D!!

  20. anonymous
    • one year ago
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    What about the 2nd one?

  21. mathmate
    • one year ago
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    Try it out like the first one, and I can help you correct it if necessary.

  22. anonymous
    • one year ago
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    I got hold on..

  23. anonymous
    • one year ago
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    |dw:1440460869976:dw|

  24. mathmate
    • one year ago
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    Almost, \(\{x\in R~ | -1<x\le2\}\) The vertical bar after R reads "such that". The outside braces enclose the content of the set.

  25. anonymous
    • one year ago
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    ohh! Sorry :)

  26. mathmate
    • one year ago
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    Don't worry about it. What's important is that you understand what's being done. Reading the article will make it more clear.

  27. anonymous
    • one year ago
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    I do. More or less. I dont get interval notation though?

  28. anonymous
    • one year ago
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    like 3x-5>17x-1 ??

  29. mathmate
    • one year ago
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    The article talks about interval notation as well, so you get two birds with one stone! lol

  30. anonymous
    • one year ago
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    Cool!! Thanks so much for all your help:))

  31. mathmate
    • one year ago
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    You're welcome! :)

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