SOLUTION: Need help to set up absolute value inequality to solve the following word problem: Erik and Nita are playing a number game where they randomly choose a number from 0 to 20. If the

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Question 985407: Need help to set up absolute value inequality to solve the following word problem:
Erik and Nita are playing a number game where they randomly choose a number from 0 to 20. If the difference between the two numbers is less than 10, Erik wins. If the difference is more than 10, Nita wins. We can decide whether to solve the problem as Erik or Nita. If we pick Erik, Nita chooses the number 7. What range of values would let Erik win? I think this can be solved with an absolute value inequality but I need help setting it up. Thank you!
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
What happens if the difference is exactly 10? Is it a tie then?
x= number picked by Eric, with 0%3C=x%3C=20
Eric wins if abs%28x-7%29%3C10 .
abs%28x-7%29%3C10--->-10%3Cx-7%3C10--->-10%2B7%3Cx-7%2B7%3C10%2B7--->-3%3Cx%3C17
Taking into account that it has to be between 0 and 20:
system%280%3C=x%3C=20%2C-3%3Cx%3C17%29---->highlight%280%3C=x%3C=16%29