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Popular >

|x-2|>9

Solution

∣ x - 2 ∣ > 9

Solution

x < - 7 or x > 11

+1

Interval Notation

(- \infty, - 7) \cup (11, \infty)

Solution steps

∣ x - 2 ∣ > 9

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x - 2 < - 9 or x - 2 > 9

x - 2 < - 9 or x - 2 > 9

x < - 7 or x > 11

Graph

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Frequently Asked Questions (FAQ)

What is |x-2|>9 ?
The solution to |x-2|>9 is x<-7\lor x>11