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Popular >

1/((x-1)(x-3))<=-1

Solution

\frac{1}{( x - 1 ) ( x - 3 )} \leq - 1

Solution

1 < x < 3

+1

Interval Notation

(1, 3)

Solution steps

\frac{1}{( x - 1 ) ( x - 3 )} \leq - 1

Rewrite in standard form

\frac{x ^{2} - 4 x + 4}{( x - 1 ) ( x - 3 )} \leq 0

Factor

\frac{x ^{2} - 4 x + 4}{( x - 1 ) ( x - 3 )} : \frac{( x - 2 ) ^{2}}{( x - 1 ) ( x - 3 )}

\frac{( x - 2 ) ^{2}}{( x - 1 ) ( x - 3 )} \leq 0

Identify the intervals

1 < x < 3

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Frequently Asked Questions (FAQ)

What is 1/((x-1)(x-3))<=-1 ?
The solution to 1/((x-1)(x-3))<=-1 is 1<x<3