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Popular >

(x+5)/(x+6)<(x-1)/(x-5)

Solution

\frac{x + 5}{x + 6} < \frac{x - 1}{x - 5}

Solution

- 6 < x < - \frac{19}{5} or x > 5

+2

Interval Notation

(- 6, - \frac{19}{5}) \cup (5, \infty)

Decimal Notation

- 6 < x < - 3.8 or x > 5

Solution steps

\frac{x + 5}{x + 6} < \frac{x - 1}{x - 5}

Rewrite in standard form

\frac{- 5 x - 19}{( x + 6 ) ( x - 5 )} < 0

Identify the intervals

- 6 < x < - \frac{19}{5} or x > 5

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Frequently Asked Questions (FAQ)

What is (x+5)/(x+6)<(x-1)/(x-5) ?
The solution to (x+5)/(x+6)<(x-1)/(x-5) is -6<x<-19/5 \lor x>5