SOLUTION: Solve {{{x < 5

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

Question 1119618: Solve
Answer by solver91311(24713) (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

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