en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|2x+8|>= 4

Solution

∣ 2 x + 8 ∣ \geq 4

Solution

x \leq - 6 or x \geq - 2

+1

Interval Notation

(- \infty, - 6] \cup [- 2, \infty)

Solution steps

∣ 2 x + 8 ∣ \geq 4

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x + 8 \leq - 4 or 2 x + 8 \geq 4

2 x + 8 \leq - 4 or 2 x + 8 \geq 4

x \leq - 6 or x \geq - 2

Popular Examples

2 x + 6 < 5 x + 2

|x+4|+|x-3|-|3x+8|=-1

∣ x + 4 ∣ + ∣ x - 3 ∣ - ∣ 3 x + 8 ∣ = - 1

simplify (14a^{-4})/(20bc^{-1)}simplify

\frac{14 a ^{- 4}}{20 b c ^{- 1}}

simplify-\sqrt[3]{-64}simplify

log_{3}(2x-1)<= 2

lo g_{3} (2 x - 1) \leq 2

Frequently Asked Questions (FAQ)

What is |2x+8|>= 4 ?
The solution to |2x+8|>= 4 is x<=-6\lor x>=-2