Question

-2/x+1/+10<2 hallar el intervalo de x

Answer 1

Respuesta:

x=(-∞,-$\frac{20}{19}$)u(0,∞)

Explicación paso a paso:

$-\frac{2}{x} +\frac{1}{10} -2<0\\\\-\frac{2}{x} +\frac{19}{10} <0\\\\-\frac{20+19x}{10x} <0\\\\\frac{20+19x}{x} >0\\\\\\\left \{ {{20+19x>0} \atop {x>0}} \right. \\\left \{ {{20+19x<0} \atop {x<0}} \right. \\\left \{ {{x>-\frac{20}{19} } \atop {x>0}} \right. \\\left \{ {{x<-\frac{20}{19} } \atop {x<0}} \right.$

x∈(0,+∞)

x∈(-∞,-$\frac{20}{19}$)

x∈(-∞,-$\frac{20}{19}$)u(0,∞)