Question

(1)/(4)(2x-1)-x < (x)/(6)-(1)/(3) ​

Answer 1

Respuesta:

$x>\frac{1}{8}$

Explicación paso a paso:

Operación:

$\frac{1}{4}\left(2x-1\right)-x<\frac{x}{6}-\frac{1}{3}\\\\\frac{1}{4}\left(2x-1\right)-x-\frac{x}{6}<\frac{x}{6}-\frac{1}{3}-\frac{x}{6}\\\\\frac{-8x-3}{12}<-\frac{1}{3}\\\\\frac{12\left(-8x-3\right)}{12}<12\left(-\frac{1}{3}\right)\\\\-8x-3<-4\\\\-8x-3+3<-4+3\\\\-8x<-1\\\\\left(-8x\right)\left(-1\right)>\left(-1\right)\left(-1\right)\\\\8x>1\\\\\frac{8x}{8}>\frac{1}{8}\\\\x>\frac{1}{8}$

Answer 2

Respuesta:

x > 1/8

Explicación paso a paso:

multiplique los paréntesis por 1/4

1/4 ×(2x-1) - x < x/6 - 1/3

1/4 × 2x - 1/4

1/2 x - 1/4 -x < x/6 - 1/3 multiplique ambos lados

6x-3 - 12x < 2x -4

-6x -2x < -4 + 3

-8x < -1

x > 1/8

espero te halla ayudado :)