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Kids under 12 and seniors over 62 get discounts on airline tickets.
Write an absolute value inequality to express this
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|a - 37| > 25.
The set of those passengers who have a discount, is those passengers, whose age " a " satisfies this inequality.
Notice that 37 is exactly half way between 12 and 62, and 25 is exactly half the distance between 62 and 12.
Solved and explained.
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comment from student : Thank you very much. Just wondering when to use > and when to use < for such problems?
I am guessing, the general method for such problems is: |age - (62 + 12)/2 | > (62 - 12) / 2
My response : Regarding the formula, you are right. Your thinking is correct.
Regarding the signs " > " and " < ", we use " < " in such problems to describe what happens INSIDE the interval,
and we use " > " to describe what happens OUTSIDE the interval.