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Popular >

|x-1|<2

Solution

∣ x - 1 ∣ < 2

Solution

- 1 < x < 3

+1

Interval Notation

(- 1, 3)

Solution steps

∣ x - 1 ∣ < 2

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 2 < x - 1 < 2

x - 1 > - 2 and x - 1 < 2

x > - 1 and x < 3

Merge Overlapping Intervals

- 1 < x < 3

Popular Examples

simplify 1-5/2 simplify

1 - \frac{5}{2}

simplify (-i)^6 simplify

(- i)^{6}

t^{2} + 10 t = 25

simplify 1.2^3 simplify

1. 2^{3}

simplify (3st^{12})^3 simplify

(3 s t^{12})^{3}

Frequently Asked Questions (FAQ)

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