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Popular >

(x+4)/(x+5)<(x-1)/(x-4)

Solution

\frac{x + 4}{x + 5} < \frac{x - 1}{x - 4}

Solution

- 5 < x < - \frac{11}{4} or x > 4

+2

Interval Notation

(- 5, - \frac{11}{4}) \cup (4, \infty)

Decimal Notation

- 5 < x < - 2.75 or x > 4

Solution steps

\frac{x + 4}{x + 5} < \frac{x - 1}{x - 4}

Rewrite in standard form

\frac{- 4 x - 11}{( x + 5 ) ( x - 4 )} < 0

Identify the intervals

- 5 < x < - \frac{11}{4} or x > 4

Popular Examples

10 + 4 ∣ 7 + 3 x ∣ = 26

factor x^3+x factor

x^{3} + x

x^{2} + 4 x - 3 = 0

factor r^2-10r+24 factor

r^{2} - 10 r + 24

x^{2} = 8 x - 25

Frequently Asked Questions (FAQ)

What is (x+4)/(x+5)<(x-1)/(x-4) ?
The solution to (x+4)/(x+5)<(x-1)/(x-4) is -5<x<-11/4 \lor x>4