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Popular >

|x+7|<6

Solution

∣ x + 7 ∣ < 6

Solution

- 13 < x < - 1

+1

Interval Notation

(- 13, - 1)

Solution steps

∣ x + 7 ∣ < 6

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 6 < x + 7 < 6

x + 7 > - 6 and x + 7 < 6

x > - 13 and x < - 1

Merge Overlapping Intervals

- 13 < x < - 1

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Frequently Asked Questions (FAQ)

What is |x+7|<6 ?
The solution to |x+7|<6 is -13<x<-1