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Popular >

|x-4|>6

Solution

∣ x - 4 ∣ > 6

Solution

x < - 2 or x > 10

+1

Interval Notation

(- \infty, - 2) \cup (10, \infty)

Solution steps

∣ x - 4 ∣ > 6

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x - 4 < - 6 or x - 4 > 6

x - 4 < - 6 or x - 4 > 6

x < - 2 or x > 10

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Frequently Asked Questions (FAQ)

What is |x-4|>6 ?
The solution to |x-4|>6 is x<-2\lor x>10