Question 99757
{{{8(.09-.7x)+1.259<=.091+18x}}} Start with the given inequality



{{{.72-5.6x+1.259<=.091+18x}}} Distribute


{{{720-5600x+1259<=91+18000x}}} Multiply both sides by 1000. This will eliminate all of the decimals



{{{-5600x+1979<=91+18000x}}} Combine like terms on the left side



{{{-5600x<=91+18000x-1979}}}Subtract 1979 from both sides



{{{-5600x-18000x<=91-1979}}} Subtract 18000x from both sides



{{{-23600x<=91-1979}}} Combine like terms on the left side



{{{-23600x<=-1888}}} Combine like terms on the right side



{{{x>=(-1888)/(-23600)}}} Divide both sides by -23600 to isolate x  (note: dividing by both sides by a negative number flips the inequality sign) 


{{{x>=0.08}}} Divide 


So our answer is {{{x>=0.08}}} which is 



<font size=6>[</font>*[Tex \Large 0.08, \infty]<font size=6>)</font>


in interval notation