Question 132563
{{{-2/11<-(4/11)x}}} Start with the given inequality




{{{cross(11)(-2/cross(11))<cross(11)(-(4/cross(11))x)}}} Multiply both sides by 11. 



{{{-2<-4x}}} Multiply and simplify



{{{-2/-4>x}}} Divide both sides by -4 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)




{{{1/2>x}}} Reduce




{{{x<1/2}}} Rearrange the inequality



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Answer:

So our answer is {{{x<1/2}}}  (which is approximately {{{x<0.5}}} in decimal form)




So the answer in interval notation is *[Tex \LARGE \left( -\infty ,\frac{1}{2}\right)]