Question

Tim gia tri nho nhat cua bieu thuc:

a, A= 2|3x - 2 | - 1

b, B= 5|1 - 4x | - 1

c, C = x²+ 3|y-2| - 1

d, D = x + |x|

e, E = | x - 7 | + 6 - x

Answer 1

Answer 2

Answer 3

(A=2left|3x-2 ight|-1ge-1)

Dấu "=" xảy ra khi: (x=dfrac{2}{3})

(B=5left|1-4x ight|-1ge-1)

Dấu "=" xảy ra khi: (x=dfrac{1}{4})

(C=x^2+3left|y-2 ight|-1ge-1)

Dấu "=" xảy ra khi: (left{{}egin{matrix}x=0\y=2end{matrix} ight.)

(D=x+left|x ight|ge0)

Dấu "=" xảy ra khi: (xle0)

(E=left|x-7 ight|+left|6-x ight|geleft|x-7+6-x ight|=1)

Dấu "=" xảy ra khi: (left[{}egin{matrix}left{{}egin{matrix}x-7ge0\6-xge0end{matrix} ight.\left{{}egin{matrix}x-7le0\6-xle0end{matrix} ight.end{matrix} ight.Leftrightarrowleft[{}egin{matrix}left{{}egin{matrix}xge7\xle6end{matrix} ight.\left{{}egin{matrix}xle7\xge6end{matrix} ight.end{matrix} ight.)

(6le xle7)