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Mathematics 21 Online
OpenStudy (anonymous):

x/(x-1)>0

OpenStudy (anonymous):

changes sign at \(0\) and at \(1\)

OpenStudy (anonymous):

break up the real line in to three parts, \[(-\infty, 0), (0,1), (1,\infty)\] and check on which it is positive

OpenStudy (anonymous):

wait how would i solve

OpenStudy (anonymous):

you can pick a number in any interval, plug it in, and see if it is positive or negative

OpenStudy (anonymous):

you can pick 2 if you like

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

yeah i know

OpenStudy (anonymous):

would it be 1 and 0

OpenStudy (anonymous):

it would be the first and third intervals since it is positive is \(x=2\)

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