What is 1/(x-1)>= 4/(x-6) ?

The solution to 1/(x-1)>= 4/(x-6) is x<=-2/3 \lor 1<x<6

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1/(x-1)>= 4/(x-6)

\frac{1}{x - 1} \geq \frac{4}{x - 6}

x \leq - \frac{2}{3} or 1 < x < 6

Interval Notation

(- \infty, - \frac{2}{3}] \cup (1, 6)

Decimal Notation

x \leq - 0.66666 \dots or 1 < x < 6

Solution steps

\frac{1}{x - 1} \geq \frac{4}{x - 6}

Rewrite in standard form

\frac{- 3 x - 2}{( x - 1 ) ( x - 6 )} \geq 0

Identify the intervals

x \leq - \frac{2}{3} or 1 < x < 6

\frac{8}{3} + 5

3^{6} \cdot 3^{- 4}

0. 9^{4}

(\frac{2 + i}{3 - 2 i})^{2}

2 x^{2} - 5 x + 6 = 0

What is 1/(x-1)>= 4/(x-6) ?
The solution to 1/(x-1)>= 4/(x-6) is x<=-2/3 \lor 1<x<6