Question 144140
{{{t+12<=6}}} Start with the given inequality




{{{t<=6-12}}}Subtract 12 from both sides



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


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Answer:

So our answer is {{{t<=-6}}} 




The answer in interval notation is   <font size="8">(</font>*[Tex \LARGE \bf{-\infty,-6}]<font size="8">]</font>




The answer in set-builder notation is  *[Tex \LARGE \left\{t\|t\le-6\right\}]




Here's the graph of the solution set


{{{drawing(500,80,-16, 4,-10, 10,
number_line( 500, -16, 4),


arrow(-6,0,-16,0),
arrow(-6,0.30,-16,0.30),
arrow(-6,0.15,-16,0.15),
arrow(-6,-0.15,-16,-0.15),
arrow(-6,-0.30,-16,-0.30),




circle(-6,0,0.2),
circle(-6,0,0.15),
circle(-6,0,0.1),
circle(-6,0,0.2-0.02)
)}}}