en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5|x+10|+4<14

Solution

5 ∣ x + 10 ∣ + 4 < 14

Solution

- 12 < x < - 8

+1

Interval Notation

(- 12, - 8)

Solution steps

5 ∣ x + 10 ∣ + 4 < 14

Move

4

to the right side

5 ∣ x + 10 ∣ < 10

Divide both sides by

5

∣ x + 10 ∣ < 2

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 2 < x + 10 < 2

x + 10 > - 2 and x + 10 < 2

x > - 12 and x < - 8

Merge Overlapping Intervals

- 12 < x < - 8

Popular Examples

2 - 5 z \geq - 13

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

factor 3c^7+5c^3+8c^5 factor

3 c^{7} + 5 c^{3} + 8 c^{5}

\frac{x}{8} = 5

factor x^2y^3-11x^2y+6y^2-66 factor

x^{2} y^{3} - 11 x^{2} y + 6 y^{2} - 66

Frequently Asked Questions (FAQ)

What is 5|x+10|+4<14 ?
The solution to 5|x+10|+4<14 is -12<x<-8