Question 375675


{{{(1/3)x-2<=(2/3)x-6}}} Start with the given inequality.



{{{cross(3)((1/cross(3))x)-3(2)<=cross(3)((2/cross(3))x)-3(6)}}} Multiply EVERY term by the LCD {{{3}}} to clear any fractions.



{{{x-6<=2x-18}}} Distribute and multiply.



{{{x<=2x-18+6}}} Add {{{6}}} to both sides.



{{{x-2x<=-18+6}}} Subtract {{{2x}}} from both sides.



{{{-x<=-18+6}}} Combine like terms on the left side.



{{{-x<=-12}}} Combine like terms on the right side.



{{{x>=(-12)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>=12}}} Reduce.



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Answer:


So the solution is {{{x>=12}}} 



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