Question 974387
{{{-2(1-x)-(3x+1)>=4x-(1+x)}}}


{{{-2+2x-3x-1>=4x-1-x}}}


{{{-x-3>=3x-1}}}


{{{-x-3+x>=3x-1+x}}}


{{{-3>=4x-1}}}


{{{-3+1>=4x-1+1}}}


{{{-2>=4x}}}


{{{4x <= -2}}}


{{{4x/4 <= -2/4}}}


{{{x <= -1/2}}}



Graph on a number line:


<img src = "http://i150.photobucket.com/albums/s91/jim_thompson5910/6-8-2015%204-20-21%20PM_zpsdn1qzijj.png">


There is a closed circle at {{{-1/2=-0.5}}} on the number line. The shading is done to the left of {{{-1/2=-0.5}}}


{{{x <= -1/2}}} in interval notation is <img src="http://www.sciweavers.org/tex2img.php?eq=%5Cleft%28-%5Cinfty%2C%20-%5Cfrac%7B1%7D%7B2%7D%5Cright%5D&bc=White&fc=Black&im=jpg&fs=12&ff=arev&edit=0" align="center" border="0" alt="\left(-\infty, -\frac{1}{2}\right]" width="94" height="47" /> (notice how I used a parenthesis near the negative infinity, and a square bracket near the -1/2)


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