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Popular >

|x-5|>7

Solution

∣ x - 5 ∣ > 7

Solution

x < - 2 or x > 12

+1

Interval Notation

(- \infty, - 2) \cup (12, \infty)

Solution steps

∣ x - 5 ∣ > 7

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x - 5 < - 7 or x - 5 > 7

x - 5 < - 7 or x - 5 > 7

x < - 2 or x > 12

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Frequently Asked Questions (FAQ)

What is |x-5|>7 ?
The solution to |x-5|>7 is x<-2\lor x>12