Question 693188


{{{-2.8x+8.4<-14x-2.8}}} Start with the given inequality.



{{{10(-2.8x+8.4)<10(-14x-2.8)}}} Multiply both sides by 10 to clear out the decimals.



{{{-28x+84<-140x-28}}} Distribute and multiply.



{{{-28x<-140x-28-84}}} Subtract {{{84}}} from both sides.



{{{-28x+140x<-28-84}}} Add {{{140x}}} to both sides.



{{{112x<-28-84}}} Combine like terms on the left side.



{{{112x<-112}}} Combine like terms on the right side.



{{{x<(-112)/(112)}}} Divide both sides by {{{112}}} to isolate {{{x}}}. 



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



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Answer:


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