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Popular >

1<|x-2|<4

Solution

1 < ∣ x - 2 ∣ < 4

Solution

- 2 < x < 1 or 3 < x < 6

+1

Solution steps

1 < ∣ x - 2 ∣ < 4

If

a < u < b

then

a < u and u < b

1 < ∣ x - 2 ∣ and ∣ x - 2 ∣ < 4

1 < ∣ x - 2 ∣ : x < 1 or x > 3

∣ x - 2 ∣ < 4 : - 2 < x < 6

Combine the intervals

(x < 1 or x > 3) and - 2 < x < 6

Merge Overlapping Intervals

- 2 < x < 1 or 3 < x < 6

Popular Examples

simplify e^{-1/2 ln(x)}simplify

e^{- \frac{1}{2} l n (x)}

factor 3x^2+11x+8 factor

3 x^{2} + 11 x + 8

(2x-1)(-5x+10)<= 0

(2 x - 1) (- 5 x + 10) \leq 0

simplify 4/3*2/3 simplify

\frac{4}{3} \cdot \frac{2}{3}

simplify 128^{3/4}*2^{3/4}simplify

12 8^{\frac{3}{4}} \cdot 2^{\frac{3}{4}}

Frequently Asked Questions (FAQ)

What is 1<|x-2|<4 ?
The solution to 1<|x-2|<4 is -2<x<1\lor 3<x<6