SOLUTION: Solve {{{x < 5 < 1/(x-1)}}}

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Question 1119618: Solve x+%3C+5+%3C+1%2F%28x-1%29
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Consider the right-hand inequality.

If then because 5 cannot be smaller than any negative number.

If then:





Hence,

And since the entirety of that interval is less than 5, the entire trichotomy is satisfied by this open interval.

John

My calculator said it, I believe it, that settles it