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Popular >

|x+6|<2

Solution

∣ x + 6 ∣ < 2

Solution

- 8 < x < - 4

+1

Interval Notation

(- 8, - 4)

Solution steps

∣ x + 6 ∣ < 2

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 2 < x + 6 < 2

x + 6 > - 2 and x + 6 < 2

x > - 8 and x < - 4

Merge Overlapping Intervals

- 8 < x < - 4

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Frequently Asked Questions (FAQ)

What is |x+6|<2 ?
The solution to |x+6|<2 is -8<x<-4