en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2|x+4|+8>= 16

Solution

2 ∣ x + 4 ∣ + 8 \geq 16

Solution

x \leq - 8 or x \geq 0

+1

Interval Notation

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

Solution steps

2 ∣ x + 4 ∣ + 8 \geq 16

Move

8

to the right side

2 ∣ x + 4 ∣ \geq 8

Divide both sides by

2

∣ x + 4 ∣ \geq 4

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

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

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

x \leq - 8 or x \geq 0

Popular Examples

5^{2} + 3^{2} = c^{2}

7 x^{2} + 11 x - 2 = 0

simplify 52^2 simplify

5 2^{2}

(x + 5)^{2} = 20

simplify-4/16 simplify

- \frac{4}{16}

Frequently Asked Questions (FAQ)

What is 2|x+4|+8>= 16 ?
The solution to 2|x+4|+8>= 16 is x<=-8\lor x>= 0