SOLUTION: solve {{{x + 1/x < (1/2)(7-x)}}}

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Question 748476: solve x+%2B+1%2Fx+%3C+%281%2F2%29%287-x%29
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
this one is quite long - I'll outline it for you :)


x+%2B+1%2Fx+%3C+%281%2F2%29%287-x%29

eventually leads to
%0D%0A%283x%5E2-7x%2B2%29%2F%282x%29%3C0%0D%0A

which leads us to test about the points x=0, x=1/3, and x=2

after testing on these intervals we find

%0D%0Ax%3C0%0D%0A
or 1%2F3%3Cx%3C2

:)