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Popular >

|x|-1>0

Solution

∣ x ∣ - 1 > 0

Solution

x < - 1 or x > 1

+1

Interval Notation

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

Solution steps

∣ x ∣ - 1 > 0

Move

1

to the right side

∣ x ∣ > 1

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x < - 1 or x > 1

Popular Examples

(x - 7)^{2} \geq 25

∣ 12 - 4 x ∣ \leq 11

factor 3(x-1)^2-21 factor

3 (x - 1)^{2} - 21

simplify (2pi)/(7/3)simplify

\frac{2 π}{\frac{7}{3}}

simplify (4a^{-2}b^{-3})/(3a^2b^1)simplify

\frac{4 a ^{- 2} b ^{- 3}}{3 a ^{2} b ^{1}}

Frequently Asked Questions (FAQ)

What is |x|-1>0 ?
The solution to |x|-1>0 is x<-1\lor x>1