en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-2|5-x|<-6

Solution

- 2 ∣ 5 - x ∣ < - 6

Solution

x < 2 or x > 8

+1

Interval Notation

(- \infty, 2) \cup (8, \infty)

Solution steps

- 2 ∣ 5 - x ∣ < - 6

Multiply both sides by

- 1

2 ∣ 5 - x ∣ > 6

Divide both sides by

2

∣ 5 - x ∣ > 3

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

5 - x < - 3 or 5 - x > 3

5 - x < - 3 or 5 - x > 3

x < 2 or x > 8

Popular Examples

2 + 4 d > 10

factor \sqrt[4]{8isqrt(3)-8}factor

- x^{2} + 3 x - 4 = 0

simplify-(16)/(-2)simplify

- \frac{16}{- 2}

0.25*x+(x+5)0.5+(x+9)0.1=3.75

0.25 \cdot x + (x + 5) 0.5 + (x + 9) 0.1 = 3.75

Frequently Asked Questions (FAQ)

What is -2|5-x|<-6 ?
The solution to -2|5-x|<-6 is x<2\lor x>8