Question 153192
The sentence "The sum of a number and 81 is greater than the product of 3 and that number" translates to {{{x+81>3x}}}





{{{x+81>3x}}} Start with the given inequality.



{{{x>3x-81}}} Subtract {{{81}}} from both sides.



{{{x-3x>-81}}} Subtract {{{3x}}} from both sides.



{{{-2x>-81}}} Combine like terms on the left side.



{{{x<(-81)/(-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<81/2}}} Reduce.



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Answer:


So the answer is {{{x<81/2}}} 



Which approximates to {{{x<40.5}}}