Question

Решите неравенство
а)$frac{1}{x}>1$
б)$frac{x-1}{x} <1$

Answer 1

$frac{1}{x}>1, \x neq 0, \  frac{1}{x}-1>0, \ frac{1-x}{x}>0, \ left [ {{ left { {{1-x<0,} atop {x<0;}} right. } atop { left { {{1-x>0,} atop {x>0;}} right. }} right.  left [ {{ left { {{x>1,} atop {x<0;}} right. } atop { left { {{x<1} atop {x>0;}} right. }} right.  left [ {{xinvarnothing,} atop {0<x<1;}} right.  \ 0<x<1.$

$frac{x-1}{x} <1, \ x neq 0, \ frac{x-1}{x}-1<0, \ -frac{1}{x} <0, \ frac{1}{x} >0, \ x>0.$