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Popular >

1<|(x-2)/(x+3)|

Solution

1 < \frac{x - 2}{x + 3}

Solution

x < - 3 or - 3 < x < - \frac{1}{2}

+2

Interval Notation

(- \infty, - 3) \cup (- 3, - \frac{1}{2})

Decimal Notation

x < - 3 or - 3 < x < - 0.5

Solution steps

1 < \frac{x - 2}{x + 3}

Switch sides

\frac{x - 2}{x + 3} > 1

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

\frac{x - 2}{x + 3} < - 1 or \frac{x - 2}{x + 3} > 1

\frac{x - 2}{x + 3} < - 1 or \frac{x - 2}{x + 3} > 1

x < - 3 or - 3 < x < - \frac{1}{2}

Popular Examples

simplify (3/(2sqrt(1+3x)))^2 simplify

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

simplify (3!)/(0!(3-0)!)simplify

\frac{3 !}{0 ! ( 3 - 0 ) !}

factor 3z^2+19z+20 factor

3 z^{2} + 19 z + 20

\frac{2}{3} x - 5 = 7

2 x - \frac{16}{5} \leq \frac{1}{3}

Frequently Asked Questions (FAQ)

What is 1<|(x-2)/(x+3)| ?
The solution to 1<|(x-2)/(x+3)| is x<-3\lor-3<x<-1/2