Question 703726
We treat inequalities like equations, performing the same actions and using the same rules.
So{{{2x^3-x^2>=0}}} can be factorised by finding the largest common factor the terms share. 
In this case that factor is{{{x^2}}}
Hence we get
{{{x^2(2x-1)>=0}}
Because this equals 0 one of these terms must equate to 0, since anything times zero is zero!
This means that either 
{{{x^2>=0}}} or 2x-1>=0
giving x=0  or 2x>=1, which gives {{{x>=1/2}}}