SOLUTION: how do you solve this problem algebraically and express the solution in interval notation ?? x + 14/x < 9

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Question 680047: how do you solve this problem algebraically and express the solution in interval notation ?? x + 14/x < 9
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Find the zeros, roots, where the line crosses the x axis
Multiply the entire equation by x
x(x) + x(14/x) = 9x
x%5E2+%2B+14+=+9x
..
x%5E2+-+9x+%2B+14+=+0
(x-7)(x-2)=0
...
The graph cut the x axis at
x=7 and x=2
...
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cy%3Ex%5E2-9x%2B14%29
...
In interval notation
x > 2 and x < 7
or
highlight_green%282%3Cx%3C7%29
..............................
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