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A triangle is formed with the coordinate axes and the graph of the line y=−3x+5. Rewrite the expression |x−2| without absolute value, if we know that x is the x coordinate of a point in the triangle.

 Apr 18, 2020
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|x - 2|  =  (x - 2)  if  x >= 2

|x - 2|  =  (2 - x)  if  x < 2

 

Since every point in the triangle has an x value >= 0 and <= 5/3, this means that we should take the second definition.

We can write it as:  "2 - x".

 Apr 18, 2020

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