Question 306402
Because of the discontinuity at x=0, break up the plane regions (x<0) and (x>0) and solve.  
{{{(x+1)/x > -2}}}
{{{x+1>-2x}}}
{{{3x>-1}}}
{{{x>-1/3}}}
Because of our previous stipulation, this only holds between
{{{0>x>-1/3}}}
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Graphical verification. 
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{{{ graph( 300, 300, -5, 5, -5, 5, -2,(x+1)/x) }}}