Question 1089794
(reposted, corrected for arithmetic mistake)



{{{24x+17-20/x>0}}}

{{{(24x^2+17x-20)/x>0}}}

discrim, {{{47^2}}}


Roots,  {{{(-17+- 47)/(2*24)}}};
{{{system(-4/3,and,5/8)}}}
and another critical x value at 0.



Check these intervals using original inequality:
{{{x<-4/3}}}
-
{{{-4/3<x<0}}}
-
{{{0<x<5/8}}}
-
{{{x>5/8}}}