Question 631844
{{{7x+4<=x-2}}} Start with the given inequality.



{{{7x<=x-2-4}}} Subtract {{{4}}} from both sides.



{{{7x-x<=-2-4}}} Subtract {{{x}}} from both sides.



{{{6x<=-2-4}}} Combine like terms on the left side.



{{{6x<=-6}}} Combine like terms on the right side.



{{{x<=(-6)/(6)}}} Divide both sides by {{{6}}} to isolate {{{x}}}. 



{{{x<=-1}}} Reduce.



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Answer:


So the solution is {{{x<=-1}}} 



Here's the graph of the solution set (on the number line)


{{{drawing(500,80,-11, 9,-10, 10,
number_line( 500, -11, 9),


arrow(-1,0,-11,0),
arrow(-1,0.30,-11,0.30),
arrow(-1,0.15,-11,0.15),
arrow(-1,-0.15,-11,-0.15),
arrow(-1,-0.30,-11,-0.30),




circle(-1,0,0.2),
circle(-1,0,0.15),
circle(-1,0,0.1),
circle(-1,0,0.2-0.02)
)}}}


Notice the closed circle is at the endpoint.


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