Question

Решите неравенство:
$frac{x-1}{x+5}geq 2$

Answer 1

$frac{x-1}{x+5} geq 2,xneq -5\frac{x-1}{x+5} -2geq 0\frac{x-1-2(x+5)}{x+5} geq 0\frac{x-1-2x-10}{x+5} geq 0\frac{-x-11}{x+5} geq 0\left { {{xleq-11 }atop{x>-5}} right. \left { {{xgeq -11} atop {x<-5}} right.$

$x$∈∅

$x$∈[ $-11,-5$⟩

$x$∈ [$-11,-5$⟩,$xneq -5$

Ответ:$x$∈[ $-11,-5$⟩