Question 1127780

{{{ (-x) / (x^2 -1)  <  0 }}} ...eliminate negative sign, factor denominator

{{{ x/ ((x -1)(x+1))  >  0 }}}..............since denominator cannot be equal to {{{0}}}, find values of {{{x}}} that will make denominator equal to {{{0}}}

{{{(x -1)(x+1)=0}}} if {{{x=1}}} or {{{x=-1}}}; so, we will exclude these values from the solutions set

next,numerator {{{ x >  0 }}}

solutions:


{{{ -1<x<0 }}} or {{{ x >  1 }}}


({{{1}}}, {{{infinity}}})

({{{-1}}}, {{{0}}})


{{{ graph( 600, 600, -10, 10, -10, 10,(-x) / (x^2 -1) ,(-x) / (x^2 -1)  <  0) }}}