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Popular >

4|x+10|>8

Solution

4 ∣ x + 10 ∣ > 8

Solution

x < - 12 or x > - 8

+1

Interval Notation

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

Solution steps

4 ∣ x + 10 ∣ > 8

Divide both sides by

4

∣ x + 10 ∣ > 2

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

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

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

x < - 12 or x > - 8

Popular Examples

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3 (y + 3) = 2 (2 y + 4)

simplify x^{3/2}((sqrt(x)-1)/(sqrt(x)))simplify

x^{\frac{3}{2}} (\frac{x - 1}{x})

\frac{6}{12} x - 10 = 30

simplify (-8)^{-2/3}simplify

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

Frequently Asked Questions (FAQ)

What is 4|x+10|>8 ?
The solution to 4|x+10|>8 is x<-12\lor x>-8