Question 148853
{{{-x + 4-9x + 3 >=7 ( x-2)}}} Start with the given inequality.



{{{-x + 4-9x + 3 >=7x-14}}} Distribute.



{{{-10x+7>=7x-14}}} Combine like terms on the left side.



{{{-10x>=7x-14-7}}} Subtract {{{7}}} from both sides.



{{{-10x-7x>=-14-7}}} Subtract {{{7x}}} from both sides.



{{{-17x>=-14-7}}} Combine like terms on the left side.



{{{-17x>=-21}}} Combine like terms on the right side.



{{{x<=(-21)/(-17)}}} Divide both sides by {{{-17}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x<=21/17}}} Reduce.



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Answer:


So the answer is {{{x<=21/17}}} 



Which approximates to {{{x<=1.235}}}