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Popular >

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

Solution

\frac{x - 2}{x + 1} \leq 1

Solution

x \geq \frac{1}{2}

+2

Interval Notation

[\frac{1}{2}, \infty)

Decimal Notation

x \geq 0.5

Solution steps

\frac{x - 2}{x + 1} \leq 1

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 1 \leq \frac{x - 2}{x + 1} \leq 1

\frac{x - 2}{x + 1} \geq - 1 and \frac{x - 2}{x + 1} \leq 1

(x < - 1 or x \geq \frac{1}{2}) and x > - 1

Merge Overlapping Intervals

x \geq \frac{1}{2}

Popular Examples

factor 27x^6-243y^6 factor

27 x^{6} - 243 y^{6}

simplify ((3x^2)/(16))^2 simplify

(\frac{3 x ^{2}}{16})^{2}

2= c/(2sqrt(0.1*(\frac{pi^2){10))}}

2 = \frac{c}{2 0.1 \cdot ( \frac{π ^{2}}{10} )}

- 2 (x + 4) = - 6

x^{2} - 3 x = - 2

Frequently Asked Questions (FAQ)

What is |(x-2)/(x+1)|<= 1 ?
The solution to |(x-2)/(x+1)|<= 1 is x>= 1/2