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Algebra

The minimum value of the

f(x)= |x-1|+|x-2|+|x-3| is ===

1/ 2/ 3/ or 0/

Profile image of SHUBHAM SHEKHAR
16 Years agoGrade
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1 Answer

Profile image of mycroft holmes
16 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.