Question

$left { {{ frac{x-1}{x-6 } geq 0 } atop {x+1 geq 0}} right.$ Пожалуйста

Answer 1

$left { {{frac{x-1}{x-6}ge0} atop {x+1ge0}} right. ,\x-6ne0,\xne6;\\ left { {{x-1ge0} atop {x+1ge0}} right.,\\ left { {{xge1} atop {xge-1}} right. Longrightarrow xge1,\\ left { {{xge1} atop {xne6}} right. Longrightarrow 1le x textless 6, x textgreater 6.\\OTBET: [1; 6), (6; infty).$