en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-8+6|-3x+3|>82

Solution

- 8 + 6 ∣ - 3 x + 3 ∣ > 82

Solution

x < - 4 or x > 6

+1

Interval Notation

(- \infty, - 4) \cup (6, \infty)

Solution steps

- 8 + 6 ∣ - 3 x + 3 ∣ > 82

Move

8

to the right side

6 ∣ - 3 x + 3 ∣ > 90

Divide both sides by

6

∣ - 3 x + 3 ∣ > 15

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

- 3 x + 3 < - 15 or - 3 x + 3 > 15

- 3 x + 3 < - 15 or - 3 x + 3 > 15

x < - 4 or x > 6

Popular Examples

simplify sqrt(18.75)simplify

18.75

factor 5x^2-43x+24 factor

5 x^{2} - 43 x + 24

simplify 1/(9!)simplify

\frac{1}{9 !}

simplify (3b^3)^2 simplify

(3 b^{3})^{2}

simplify (5x)^{2/3}simplify

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

Frequently Asked Questions (FAQ)

What is -8+6|-3x+3|>82 ?
The solution to -8+6|-3x+3|>82 is x<-4\lor x>6