Question

\(\dfrac{1-5x}{x-1}\ge1\)

Answer 1

ĐKXĐ:\(x\ne1\)

\(\dfrac{1-5x}{x-1}\ge1\\ \Rightarrow1-5x\ge x-1\\ \Leftrightarrow x-1-1+5x\le0\\ \Leftrightarrow6x-2\le0\\ \Leftrightarrow x\le\dfrac{1}{3}\)

Answer 2

dk x khac 1

De \(\dfrac{1-5x}{x-1}\)≥1<=>1-5x≥x-1

<=>1-5x-x+1≥0

<=>-6x+2≥0

<=>-6x≥-2

<=>x≤-1