en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-7-9|2x+8|<-16

Solution

- 7 - 9 ∣ 2 x + 8 ∣ < - 16

Solution

x < - \frac{9}{2} or x > - \frac{7}{2}

+2

Interval Notation

(- \infty, - \frac{9}{2}) \cup (- \frac{7}{2}, \infty)

Decimal Notation

x < - 4.5 or x > - 3.5

Solution steps

- 7 - 9 ∣ 2 x + 8 ∣ < - 16

Move

7

to the right side

- 9 ∣ 2 x + 8 ∣ < - 9

Multiply both sides by

- 1

9 ∣ 2 x + 8 ∣ > 9

Divide both sides by

9

∣ 2 x + 8 ∣ > 1

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 x + 8 < - 1 or 2 x + 8 > 1

2 x + 8 < - 1 or 2 x + 8 > 1

x < - \frac{9}{2} or x > - \frac{7}{2}

Popular Examples

9 y - 40 > - 4 (3 - 4 y)

simplify 11/12-2/3 simplify

\frac{11}{12} - \frac{2}{3}

5 w^{2} - 8 = - 53

- 8 x + 8 \geq 0

simplify (sqrt(5)-sqrt(2))/(sqrt(5)+\sqrt{2)}simplify

\frac{5 - 2}{5 + 2}

Frequently Asked Questions (FAQ)

What is -7-9|2x+8|<-16 ?
The solution to -7-9|2x+8|<-16 is x<-9/2 \lor x>-7/2