Question

$\frac{12-4x}{3x} >\frac{15}{4}$

Answer 1

Respuesta:

$\frac{12-4x}{3x}>\frac{15}{4}$

$\frac{4(3-x)}{3x} =\frac{15}{4}$

$4(3-x)=\frac{15}{4} *3x$

$4(3-x)=\frac{15*3x}{4}$

$4(3-x)=\frac{45x}{4}$

$16(3-x)=45x$

$48-16x=45x$

$48=45x+16x$

$48=61x$

$\frac{48}{61} =x$

$x=\frac{48}{61}$

Answer 2

Respuesta:

$0<x<\frac{48}{61}$

Explicación paso a paso:

$\frac{12-4x}{3x}>\frac{15}{4}\\\\\frac{12-4x}{3x}-\frac{15}{4}>\frac{15}{4}-\frac{15}{4}\\\\\frac{12-4x}{3x}-\frac{15}{4}>0\\\\\frac{48-61x}{12x}>0\\\\\frac{12\left(48-61x\right)}{12x}>0\cdot \:12\\\\\frac{48-61x}{x}>0\\\\0<x<\frac{48}{61}$

espero que te ayude

#yoaprendi