Question 115597

{{{2x/3-2<=8-1x}}} Start with the given inequality




{{{(3)(2x/3-2)<=(3)(8-1x)}}} Multiply both sides by the LCM of 3. This will eliminate the fractions  (note: if you need help with finding the LCM, check out this <a href=http://www.algebra.com/algebra/homework/divisibility/least-common-multiple.solver>solver</a>)




{{{2x-6<=24-3x}}} Distribute and multiply the LCM to each side




{{{2x<=24-3x+6}}}Add 6 to both sides



{{{2x+3x<=24+6}}} Add 3x to both sides



{{{5x<=24+6}}} Combine like terms on the left side



{{{5x<=30}}} Combine like terms on the right side



{{{x<=(30)/(5)}}} Divide both sides by 5 to isolate x 




{{{x<=6}}} Divide


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Answer:

So our answer is {{{x<=6}}}