Question 146900


{{{0.8x+8<=1.2x-9}}} Start with the given inequality.



{{{10(0.8x+8)<=10(1.2x-9)}}} Multiply both sides by 10 to clear out the decimals.



{{{8x+80<=12x-90}}} Distribute and multiply.



{{{8x<=12x-90-80}}} Subtract {{{80}}} from both sides.



{{{8x-12x<=-90-80}}} Subtract {{{12x}}} from both sides.



{{{-4x<=-90-80}}} Combine like terms on the left side.



{{{-4x<=-170}}} Combine like terms on the right side.



{{{x>=(-170)/(-4)}}} Divide both sides by {{{-4}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>=85/2}}} Reduce.



----------------------------------------------------------------------


Answer:


So the answer is {{{x>=85/2}}} 



Which approximates to {{{x>=42.5}}}