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Popular >

|x+6|>10

Solution

∣ x + 6 ∣ > 10

Solution

x < - 16 or x > 4

+1

Interval Notation

(- \infty, - 16) \cup (4, \infty)

Solution steps

∣ x + 6 ∣ > 10

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x + 6 < - 10 or x + 6 > 10

x + 6 < - 10 or x + 6 > 10

x < - 16 or x > 4

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x^{2} - 8 x + 14 = 0

5 x^{2} - 2 x - 24 = 0

factor x^2-9x+4x-36 factor

x^{2} - 9 x + 4 x - 36

Frequently Asked Questions (FAQ)

What is |x+6|>10 ?
The solution to |x+6|>10 is x<-16\lor x>4