Question 946019
Make a relation to 0.


{{{7/(x+3)>8/(x-3)}}}


{{{7/(x+3)-8/(x-3)>0}}}


Multiply left and right members the lcd of (x+3)(x-3).


{{{(7/(x+3)-8/(x-3))(x+3)(x-3)>0*(x+3)(x-3)}}}


{{{7(x-3)-8(x+3)>0}}}, hoping you can see through the skipped step;


{{{7x-21-8x-24>0}}}

{{{-x-45>0}}}

{{{-x>45}}}

{{{highlight(x<-45)}}}