Question

tìm gtnn của:A=/x-1/+/2x-1/+/3x-1/

Answer 1

\(A=\left|x-1\right|+\left|2x-1\right|+\left|3x-1\right|\)

\(=\left|x-1\right|+\left|2x-1\right|+\left|1-3x\right|\) \(\ge\left|x-1+2x-1+1-3x\right|\)

Mà \(\left|x-1+2x-1+1-3x\right|=\left|-1\right|=1\)

\(\Rightarrow A\ge1\)

\(\Rightarrow GTNN\) của \(A\) là 1