Question:

Help with absolute value notation?

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How do I put this in absolute value notation:

1) The distance between x and 5 is no more than 3.

2) The distance between x and -10 is at least 6.

3) While traveling on the Pennsylvania Turnpike, you milepost 57 near Pittsburgh, then milepost 236 near Gettysburg. How many miles do you travel between the two mileposts?

4) The temperature in Bismark, North Dakota was 60 degrees F at noon, then 23 degrees F at midnight. What was the change in temperature over the 12-hour period?

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2 ANSWERS


  1. 1.)  |x - 5| ≤ 3

    2.)  |x - 10| ≥ 6

    For 3.) and 4.) those can just be solved, I don't understand how to put those in absolute value where they can be solved.


  2. If x and y are ANY two numbers on the number line then |x-y| is the distance between x and y.  Using this problem 1 is:

    1)  |x-5|<=3,  where '<=' means 'less than or equal to'

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