Question 1187246
Solve for {{{x}}}:

{{{(x-1)/(x+3)> 0}}}


Solutions:


{{{x-1> 0}}}->{{{x>1}}}

{{{(x+3)> 0}}}->{{{x<-3}}}


Interval notation:
({{{-infinity}}}, {{{-3}}}) U ({{{1}}},{{{infinity}}})



2. Solve for {{{x}}}:


{{{1/x<1/(x-3)}}}


left side, denominator {{{ x<>0}}}, then {{{ 1/x<0}}}

right side, {{{(x-3)>0}}}->{{{x>3}}}


Interval notation:

({{{-infinity}}}, {{{0}}}) U ({{{3}}},{{{infinity}}})