Решите неравенство log2(1-x)/(x-1)

Question

Решите неравенство log2(1-x)/(x-1)<0

Answer 1

Ответ:

(x∈-∞,1)

0} \atop {x-1" alt="\left \{ {{log_2(1-x)>0} \atop {x-1" align="absmiddle" class="latex-formula">0} \atop {x-1=0}} \right." alt="\left \{ {{log_2(1-x)>0} \atop {x-1=0}} \right." align="absmiddle" class="latex-formula">

0} \atop {x>1}} \right." alt="\left \{ {{x>0} \atop {x>1}} \right." align="absmiddle" class="latex-formula">

x∈(-∞,0)

x<0</p>