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Popular >

|1-x|>2

Solution

∣ 1 - x ∣ > 2

Solution

x < - 1 or x > 3

+1

Interval Notation

(- \infty, - 1) \cup (3, \infty)

Solution steps

∣ 1 - x ∣ > 2

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

1 - x < - 2 or 1 - x > 2

1 - x < - 2 or 1 - x > 2

x < - 1 or x > 3

Popular Examples

-x/4+9/2 = 2/3 x-1

- \frac{x}{4} + \frac{9}{2} = \frac{2}{3} x - 1

simplify (e^{7i}-e^{-7i})/(2i)simplify

\frac{e ^{7 i} - e ^{- 7 i}}{2 i}

simplify 1/(-4n^{-4)}simplify

\frac{1}{- 4 n ^{- 4}}

factor x^2+3x-4 factor

x^{2} + 3 x - 4

6 n + 4 = - 26

Frequently Asked Questions (FAQ)

What is |1-x|>2 ?
The solution to |1-x|>2 is x<-1\lor x>3