Question 153193
The sentence "Four more than the quotient of a number and 3 is at least that number" translates to {{{x/3+4>=x}}}





{{{x/3+4>=x}}} Start with the given inequality.



{{{3(x/cross(3)+4)>=3(x)}}} Multiply both sides by the LCD {{{3}}} to clear any fractions.



{{{x+12>=3x}}} Distribute and multiply.



{{{x>=3x-12}}} Subtract {{{12}}} from both sides.



{{{x-3x>=-12}}} Subtract {{{3x}}} from both sides.



{{{-2x>=-12}}} Combine like terms on the left side.



{{{x<=(-12)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x<=6}}} Reduce.



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Answer:


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