a) Ta có : \(2\left|x-5\right|\ge0\) \(\forall\) x
=> \(2\left|x-5\right|-2015\ge-2015\)
Dấu ''='' xảy ra \(\Leftrightarrow2\left|x-5\right|=0\)
\(\Leftrightarrow x=5\)
Vậy Amin = -2015 \(\Leftrightarrow x=5\)
b) Ta có : \(-\left|3x-5\right|\le0\) \(\forall\) x
\(\Rightarrow205-\left|3x-5\right|\le205\)
Dấu '' ='' xảy ra \(\Leftrightarrow\left|3x-5\right|=0\)
\(\Leftrightarrow x=\dfrac{5}{3}\)
Vậy Bmax= 205 \(\Leftrightarrow x=\dfrac{5}{3}\)