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Popular >

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

Solution

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

Solution

x \leq \frac{1}{2}

+2

Interval Notation

(- \infty, \frac{1}{2}]

Decimal Notation

x \leq 0.5

Solution steps

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

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

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

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

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

Merge Overlapping Intervals

x \leq \frac{1}{2}

Popular Examples

factor x^3+2x^2-13x+10 factor

x^{3} + 2 x^{2} - 13 x + 10

-2.5x^2+12x+21=0

- 2.5 x^{2} + 12 x + 21 = 0

x^{2} + 4 x - 5 \geq 0

-(6-2x)=4(x+1)-2x-10

- (6 - 2 x) = 4 (x + 1) - 2 x - 10

simplify (2-5i)/i simplify

\frac{2 - 5 i}{i}

Frequently Asked Questions (FAQ)

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