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Popular >

|x+4|>4

Solution

∣ x + 4 ∣ > 4

Solution

x < - 8 or x > 0

+1

Interval Notation

(- \infty, - 8) \cup (0, \infty)

Solution steps

∣ x + 4 ∣ > 4

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x + 4 < - 4 or x + 4 > 4

x + 4 < - 4 or x + 4 > 4

x < - 8 or x > 0

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x^{2} - 17 x + 72 < 0

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2^{(\frac{3}{2})}

2 x - 1 = x - 3

Frequently Asked Questions (FAQ)

What is |x+4|>4 ?
The solution to |x+4|>4 is x<-8\lor x>0