Question 200031
{{{6y+2y<=-16}}} Start with the given inequality.



{{{8y<=-16}}} Combine like terms on the left side.



{{{y<=(-16)/(8)}}} Divide both sides by {{{8}}} to isolate {{{y}}}. 



{{{y<=-2}}} Reduce.



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Answer:


So the solution is {{{y<=-2}}} 




So the answer in set-builder notation is  *[Tex \LARGE \left\{y\|y\le-2\right\}]



Here's the graph of the solution set


{{{drawing(500,80,-12, 8,-10, 10,
number_line( 500, -12, 8),


arrow(-2,0,-12,0),
arrow(-2,0.30,-12,0.30),
arrow(-2,0.15,-12,0.15),
arrow(-2,-0.15,-12,-0.15),
arrow(-2,-0.30,-12,-0.30),




circle(-2,0,0.2),
circle(-2,0,0.15),
circle(-2,0,0.1),
circle(-2,0,0.2-0.02)
)}}}


Take note that there is an <b>CLOSED</b> circle at the endpoint.