anonymous
  • anonymous
need to solve inequality in interval notation and algebraic notation.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[x+2 \over x+6 \]>0
anonymous
  • anonymous
the x+2 is a fraction over x+6 and it's supposed to be in a straight line with >0
anonymous
  • anonymous
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)

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anonymous
  • anonymous
sorry the last step is -4 < x+2
anonymous
  • anonymous
got it?
anonymous
  • anonymous
oh ok. yeah, makes sense. so which one is the interval notation and which ones the algebraic. Just to clarify?
anonymous
  • anonymous
it says to separate answers in algebraic notation with or if necessary. I wasn't sure if there was more than one.
anonymous
  • anonymous
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.
anonymous
  • anonymous
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?
anonymous
  • anonymous
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.
anonymous
  • anonymous
The problem states you need to express it in both notations.
anonymous
  • anonymous
ohh I see what you were saying. ok. Thanks
anonymous
  • anonymous
lol, you are welcome.
anonymous
  • anonymous
think \[-5,\infty\] is the answer to the other part of the problem? or should I double check somewhere?
anonymous
  • anonymous
for the interval notation.
anonymous
  • anonymous
would this be either of the answers? http://www.wolframalpha.com/input/?i=%28x%2B2%29%2F%28x%2B6%29%3E0
anonymous
  • anonymous
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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