Question 309091
I think you mean 
{{{x^3+3x^2>-x+3}}}
which equates to 
{{{x^3+3x^2+x-3>0}}}
So look for the intervals when the function is greater than zero because then it satisfies the inequality,
{{{x^3+3x^2>-x+3}}}
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{{{ graph( 300, 300, -5, 5, -5, 5, x^3+3x^2+x-3,x^3+3x^2,-x+3 ) }}} 
The red line is the original function, {{{x^3+3x^2+x-3}}}.
The green line is {{{x^3+3x^2}}}.
The blue line is {{{-x+3}}}.
When the red line is above zero is equal to when the green line is above the red line. 
The x value that corresponds to when the inequality holds is,
{{{x>0.7693}}}