Question 622195


{{{3(x-1)-4<=2(3x+1)}}} Start with the given inequality.



{{{3x-3-4<=6x+2}}} Distribute.



{{{3x-7<=6x+2}}} Combine like terms on the left side.



{{{3x<=6x+2+7}}} Add {{{7}}} to both sides.



{{{3x-6x<=2+7}}} Subtract {{{6x}}} from both sides.



{{{-3x<=2+7}}} Combine like terms on the left side.



{{{-3x<=9}}} Combine like terms on the right side.



{{{x>=(9)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>=-3}}} Reduce.



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Answer:


So the solution is {{{x>=-3}}}