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Popular >

x>= 2/(x-1)

Solution

x \geq \frac{2}{x - 1}

Solution

- 1 \leq x < 1 or x \geq 2

+1

Interval Notation

[- 1, 1) \cup [2, \infty)

Solution steps

x \geq \frac{2}{x - 1}

Rewrite in standard form

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

Factor

\frac{x ( x - 1 ) - 2}{x - 1} : \frac{( x + 1 ) ( x - 2 )}{x - 1}

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

Identify the intervals

- 1 \leq x < 1 or x \geq 2

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Frequently Asked Questions (FAQ)

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