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The minimum value of the f(x)= |x-1|+|x-2|+|x-3| is === 1/ 2/ 3/ or 0/

The minimum value of  the


 f(x)= |x-1|+|x-2|+|x-3| is ===


1/ 2/ 3/ or  0/

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1 Answers

mycroft holmes
272 Points
12 years ago

From triangle inequality , |x-1| + |x-3| >=2 with min occurring for x lying between 1 and 3.

 

Thus for x =2, the expression attains the min value of 2.

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