SOLUTION: I have a word problem that is from a worksheet that I do not understand how to write in order to solve. Could someone show me how this problem should be written. Thank you. Four

Algebra ->  Inequalities -> SOLUTION: I have a word problem that is from a worksheet that I do not understand how to write in order to solve. Could someone show me how this problem should be written. Thank you. Four       Log On


   

Question 153193: I have a word problem that is from a worksheet that I do not understand how to write in order to solve. Could someone show me how this problem should be written. Thank you.
Four more than the quotient of a number and 3 is at least that number.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The sentence "Four more than the quotient of a number and 3 is at least that number" translates to x%2F3%2B4%3E=x




x%2F3%2B4%3E=x Start with the given inequality.


3%28x%2Fcross%283%29%2B4%29%3E=3%28x%29 Multiply both sides by the LCD 3 to clear any fractions.


x%2B12%3E=3x Distribute and multiply.


x%3E=3x-12 Subtract 12 from both sides.


x-3x%3E=-12 Subtract 3x from both sides.


-2x%3E=-12 Combine like terms on the left side.


x%3C=%28-12%29%2F%28-2%29 Divide both sides by -2 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3C=6 Reduce.


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Answer:

So the answer is x%3C=6