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Popular >

2<|x-1|<4

Solution

2 < ∣ x - 1 ∣ < 4

Solution

- 3 < x < - 1 or 3 < x < 5

+1

Interval Notation

(- 3, - 1) \cup (3, 5)

Solution steps

2 < ∣ x - 1 ∣ < 4

If

a < u < b

then

a < u and u < b

2 < ∣ x - 1 ∣ and ∣ x - 1 ∣ < 4

2 < ∣ x - 1 ∣ : x < - 1 or x > 3

∣ x - 1 ∣ < 4 : - 3 < x < 5

Combine the intervals

(x < - 1 or x > 3) and - 3 < x < 5

Merge Overlapping Intervals

- 3 < x < - 1 or 3 < x < 5

Popular Examples

simplify sqrt(2)sqrt(7)simplify

27

simplify 2/(2pi)simplify

\frac{2}{2 π}

simplify \sqrt[4]{x^3}simplify

(3x+2)(x-4)=x(x+5)-21

(3 x + 2) (x - 4) = x (x + 5) - 21

(3w)/2+1/2 =w+4

\frac{3 w}{2} + \frac{1}{2} = w + 4

Frequently Asked Questions (FAQ)

What is 2<|x-1|<4 ?
The solution to 2<|x-1|<4 is -3<x<-1\lor 3<x<5