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Popular >

|x+7|<2

Solution

∣ x + 7 ∣ < 2

Solution

- 9 < x < - 5

+1

Interval Notation

(- 9, - 5)

Solution steps

∣ x + 7 ∣ < 2

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 2 < x + 7 < 2

x + 7 > - 2 and x + 7 < 2

x > - 9 and x < - 5

Merge Overlapping Intervals

- 9 < x < - 5

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Frequently Asked Questions (FAQ)

What is |x+7|<2 ?
The solution to |x+7|<2 is -9<x<-5