SOLUTION: My homework problem says "Write the sentence as an absolute value inequality, then solve the inequality" given "Half of a number n is at most 5 units from 14 I know the solutions

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Question 996603: My homework problem says "Write the sentence as an absolute value inequality, then solve the inequality" given "Half of a number n is at most 5 units from 14
I know the solutions in 18 is less than or equal to n is less than or equal to 38 but I can not figure out what the absolute value inequality is. I think it has something to do with the absolute value of n/2 and something to do with 14 plus or minus 5. Thank you
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
"Write the sentence as an absolute value inequality, then solve the inequality" given "Half of a number n is at most 5 units from 14.

half the number n;
, how far from 14 is ;
, at most five units


This should also work as .
"Eighteen" is not the solution to the inequality.
Can you solve this inequality?


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HINT: You have an inequality; not an equation. Take into account that could be non-negative or negative, meaning you need to solve for each case.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

My homework problem says "Write the sentence as an absolute value inequality, then solve the inequality" given "Half of a number n is at most 5 units from 14
I know the solutions in 18 is less than or equal to n is less than or equal to 38 but I can not figure out what the absolute value inequality is. I think it has something to do with the absolute value of n/2 and something to do with 14 plus or minus 5. Thank you
Solution to the inequality:  is just as you stated:   

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