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Popular >

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

Solution

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

Solution

x < \frac{1}{2}

+2

Interval Notation

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

Decimal Notation

x < 0.5

Solution steps

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

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

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

\frac{x + 1}{x - 2} > - 1 and \frac{x + 1}{x - 2} < 1

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

Merge Overlapping Intervals

x < \frac{1}{2}

Popular Examples

simplify 4/5-4/9 simplify

\frac{4}{5} - \frac{4}{9}

simplify 1/2+1/3+1/6 simplify

\frac{1}{2} + \frac{1}{3} + \frac{1}{6}

- 6 > 5 n + 5 + 4

simplify (10^5)/(10^2)simplify

\frac{1 0 ^{5}}{1 0 ^{2}}

simplify (5/7)^{-0.65}simplify

(\frac{5}{7})^{- 0.65}

Frequently Asked Questions (FAQ)

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