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Popular >

|x-2|>10

Solution

∣ x - 2 ∣ > 10

Solution

x < - 8 or x > 12

+1

Interval Notation

(- \infty, - 8) \cup (12, \infty)

Solution steps

∣ x - 2 ∣ > 10

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x - 2 < - 10 or x - 2 > 10

x - 2 < - 10 or x - 2 > 10

x < - 8 or x > 12

Popular Examples

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\frac{1}{2} i (\frac{1}{3} - 18 i)

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4 x + 16

simplify (-2i)^2 simplify

(- 2 i)^{2}

simplify 9sqrt(18)simplify

918

Frequently Asked Questions (FAQ)

What is |x-2|>10 ?
The solution to |x-2|>10 is x<-8\lor x>12