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Popular >

1/(1-x)<= 1/(1-x^2)

Solution

\frac{1}{1 - x} \leq \frac{1}{1 - x ^{2}}

Solution

- 1 < x \leq 0 or x > 1

+1

Interval Notation

(- 1, 0] \cup (1, \infty)

Solution steps

\frac{1}{1 - x} \leq \frac{1}{1 - x ^{2}}

Rewrite in standard form

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

Factor

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

\frac{x ( x - 1 )}{( - x + 1 ) ( x + 1 ) ( x - 1 )} \leq 0

Identify the intervals

- 1 < x \leq 0 or x > 1

Popular Examples

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\frac{( 4 - 0.5 ) ^{3} - 64}{- 0.5}

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\frac{x}{9} = 10

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2 a^{7} b^{3} - 288 ab

(γ^{2} + γ + 1) = 0

Frequently Asked Questions (FAQ)

What is 1/(1-x)<= 1/(1-x^2) ?
The solution to 1/(1-x)<= 1/(1-x^2) is -1<x<= 0\lor x>1