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Popular >

2<|x-6|<4

Solution

2 < ∣ x - 6 ∣ < 4

Solution

2 < x < 4 or 8 < x < 10

+1

Interval Notation

(2, 4) \cup (8, 10)

Solution steps

2 < ∣ x - 6 ∣ < 4

If

a < u < b

then

a < u and u < b

2 < ∣ x - 6 ∣ and ∣ x - 6 ∣ < 4

2 < ∣ x - 6 ∣ : x < 4 or x > 8

∣ x - 6 ∣ < 4 : 2 < x < 10

Combine the intervals

(x < 4 or x > 8) and 2 < x < 10

Merge Overlapping Intervals

2 < x < 4 or 8 < x < 10

Popular Examples

98 b^{2} - 50 = 0

simplify ((8x^{-1/2}y^2)/(4x^{2/3)y^{-1/4}})^3 simplify

(\frac{8 x ^{- \frac{1}{2}} y ^{2}}{4 x ^{\frac{2}{3}} y ^{- \frac{1}{4}}})^{3}

12 x^{2} + 17 x = 5

(3x-2)/7 =(6x-5)/(13)

\frac{3 x - 2}{7} = \frac{6 x - 5}{13}

x + 5 < 20

Frequently Asked Questions (FAQ)

What is 2<|x-6|<4 ?
The solution to 2<|x-6|<4 is 2<x<4\lor 8<x<10