en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x+4|-2>2

Solution

∣ x + 4 ∣ - 2 > 2

Solution

x < - 8 or x > 0

+1

Interval Notation

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

Solution steps

∣ x + 4 ∣ - 2 > 2

Move

2

to the right side

∣ 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

Popular Examples

simplify 4sqrt(36x^2y^3z^4)simplify

4 36 x^{2} y^{3} z^{4}

simplify 1/3 (-3)simplify

\frac{1}{3} (- 3)

simplify (3sqrt(2))/(sqrt(6))simplify

\frac{3 2}{6}

factor 2x^2+4x-16 factor

2 x^{2} + 4 x - 16

simplify (15!)/((15-4)!4!)simplify

\frac{15 !}{( 15 - 4 ) ! 4 !}

Frequently Asked Questions (FAQ)

What is |x+4|-2>2 ?
The solution to |x+4|-2>2 is x<-8\lor x>0