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What is the least possible value of the sum | x - 1 | + | x - 1.5 | + | x - 3 |?

 Oct 19, 2020
 #2
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Let

y=| x - 1 | + | x - 1.5 | + | x - 3 |

 

The roots of this will be x=1, x=1.5 and x=3

 

Work out what the y funtion expression will be for each of these regions  (it will be a line segment each time)

 

x<1

1<=x<1.5

1.5<=x<3

x>3

 

Graph each of the line segments that you get and see where the lowest value of the function is.

 

If you have questions then ask.

 

Please no one answer over me.

 Oct 19, 2020
edited by Melody  Oct 19, 2020

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