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asambeis [7]
3 years ago
6

What is the soloution of x^2-1/x^2+5x+4<_0

Mathematics
1 answer:
JulijaS [17]3 years ago
6 0
<span>You have the following inequality given in the problem shown above:

 (x^2-1)/(x^2+5x+4)</span>≤<span>0

 1. To solve it, you must factor it and then you must make the study of the signs.

 2. Once you do the proccedure mentioned above, you obtain the following solutions:

 -4<x<-1

 -1<x</span>≤<span>1

 3. You can graph the inaquality given in the problem, as you can see in the figure attached.</span>

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In order to answer this question, we must break this mathematical expression up into a series of mathematical operations (exponent, multiplication,division, addition, and/or subtraction):

"4 times a number" - The word "times" implies that we have to multiply 4 by an unknown number. We can simply label this unknown number as x.
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"decreased by 7" - The word "decreased" implies that we must subtract 7 from the product of 4 multiplied by x3

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