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Popular >

|x+6|>7

Solution

∣ x + 6 ∣ > 7

Solution

x < - 13 or x > 1

+1

Interval Notation

(- \infty, - 13) \cup (1, \infty)

Solution steps

∣ x + 6 ∣ > 7

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x + 6 < - 7 or x + 6 > 7

x + 6 < - 7 or x + 6 > 7

x < - 13 or x > 1

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Frequently Asked Questions (FAQ)

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