SOLUTION: how do i write a open sentence using absolute value when i have a number line that has these numbers plotted -11 and -7 and then for these two numbers 4 and 12.

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Question 715215: how do i write a open sentence using absolute value when i have a number line that has these numbers plotted -11 and -7 and then for these two numbers 4 and 12.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how do i write an open sentence using absolute value when i have a number line that has these numbers plotted -11 and -7
Find the middle of the interval:
It is -9
Write the open sentence describing the distance from -9 as 2:
|x-(-9)| = 2
x+9 = 2 or x+9 = -2
x = -7 or x = -11
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And then for these two numbers 4 and 12.
Middle of the interval is 8
Distance from middle is 4
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Open sentence:
|x-8| = 4
x-8 = 4 or x-8 = -4
x = 12 or x = 4
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Cheers,
Stan H.