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Popular >

| x/(x+1)|<5

Solution

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

Solution

x < - \frac{5}{4} or x > - \frac{5}{6}

+2

Interval Notation

(- \infty, - \frac{5}{4}) \cup (- \frac{5}{6}, \infty)

Decimal Notation

x < - 1.25 or x > - 0.83333 \dots

Solution steps

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

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

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

\frac{x}{x + 1} > - 5 and \frac{x}{x + 1} < 5

(x < - 1 or x > - \frac{5}{6}) and (x < - \frac{5}{4} or x > - 1)

Merge Overlapping Intervals

x < - \frac{5}{4} or x > - \frac{5}{6}

Popular Examples

3 x + 5 \geq 41

simplify (6/2)^2 simplify

(\frac{6}{2})^{2}

simplify (3-4i)(2+3i)simplify

(3 - 4 i) (2 + 3 i)

factor 121x^2-22x+1 factor

121 x^{2} - 22 x + 1

- 2 x^{2} + 16 x + 1 = 0

Frequently Asked Questions (FAQ)

What is | x/(x+1)|<5 ?
The solution to | x/(x+1)|<5 is x<-5/4 \lor x>-5/6