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anonymous

  • 5 years ago

need to solve inequality in interval notation and algebraic notation.

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  1. anonymous
    • 5 years ago
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    \[x+2 \over x+6 \]>0

  2. anonymous
    • 5 years ago
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    the x+2 is a fraction over x+6 and it's supposed to be in a straight line with >0

  3. anonymous
    • 5 years ago
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    okay flip it. so we get (x+6)/(x+2)>0 x+6 = x+2 +4 1+4/(x+2)>0 4/(x+2) > -1 4>(-x-2) 4<(x+2)

  4. anonymous
    • 5 years ago
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    sorry the last step is -4 < x+2

  5. anonymous
    • 5 years ago
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    got it?

  6. anonymous
    • 5 years ago
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    oh ok. yeah, makes sense. so which one is the interval notation and which ones the algebraic. Just to clarify?

  7. anonymous
    • 5 years ago
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    it says to separate answers in algebraic notation with or if necessary. I wasn't sure if there was more than one.

  8. anonymous
    • 5 years ago
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    oh I didnt see that part of the problem. x > -6 is the algebraic notation x = {-5 to +infinity} (or something like that) would be interval notation. the two are different methods of expressing all the values x can take. you can either say x is greater than negative 6 ( x>-6) or you can say x can take any value between -5 and positive infinity x = {-5 to +infinity} I don't remember how the interval notation works. google it.

  9. anonymous
    • 5 years ago
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    ok so the only think I should put down for algebraic notation is \[x >-6\]? I don't think it wants me to say the same thing twice, It might want me to put or in between if their is another solution?

  10. anonymous
    • 5 years ago
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    there is no 'other' solution. x lies in a certain interval. How you say that x lies in a certain interval changes. You can either say x> 6 but x<9 or you can say x lies between 6 and 9.

  11. anonymous
    • 5 years ago
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    The problem states you need to express it in both notations.

  12. anonymous
    • 5 years ago
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    ohh I see what you were saying. ok. Thanks

  13. anonymous
    • 5 years ago
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    lol, you are welcome.

  14. anonymous
    • 5 years ago
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    think \[-5,\infty\] is the answer to the other part of the problem? or should I double check somewhere?

  15. anonymous
    • 5 years ago
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    for the interval notation.

  16. anonymous
    • 5 years ago
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    would this be either of the answers? http://www.wolframalpha.com/input/?i=%28x%2B2%29%2F%28x%2B6%29%3E0

  17. anonymous
    • 5 years ago
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    Yes, that is right. the first solution is the algebraic notation. the second solution is the interval notation, only it is expressed in graphical form.

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