Question 161493


{{{8x<-24}}} Start with the given inequality.



{{{x<(-24)/(8)}}} Divide both sides by {{{8}}} to isolate {{{x}}}. 



{{{x<-3}}} Reduce.



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Answer:


So the answer is {{{x<-3}}} 




So the answer in interval notation is *[Tex \LARGE \left(-\infty,-3\right)]






Also,  the answer in set-builder notation is  *[Tex \LARGE \left\{x\|x<-3\right\}]




Here's the graph of the solution set


{{{drawing(500,80,-13, 7,-10, 10,
number_line( 500, -13, 7),


arrow(-3,0,-13,0),
arrow(-3,0.30,-13,0.30),
arrow(-3,0.15,-13,0.15),
arrow(-3,-0.15,-13,-0.15),
arrow(-3,-0.30,-13,-0.30),




circle(-3,0,0.3),
circle(-3,0,0.3),
circle(-3,0,0.3),
circle(-3,0,0.3-0.02)
)}}}