en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x+5|+4<12

Solution

∣ x + 5 ∣ + 4 < 12

Solution

- 13 < x < 3

+1

Interval Notation

(- 13, 3)

Solution steps

∣ x + 5 ∣ + 4 < 12

Move

4

to the right side

∣ x + 5 ∣ < 8

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 8 < x + 5 < 8

x + 5 > - 8 and x + 5 < 8

x > - 13 and x < 3

Merge Overlapping Intervals

- 13 < x < 3

Popular Examples

simplify log_{5}(-1)simplify

lo g_{5} (- 1)

∣ 2 x - 5 ∣ < ∣ 3 x - 2 ∣

∣ x - 7 ∣ \geq 2

simplify (3a^2b^7)(5a^3b^8)simplify

(3 a^{2} b^{7}) (5 a^{3} b^{8})

factor a(n+2)+n+2 factor

a (n + 2) + n + 2

Frequently Asked Questions (FAQ)

What is |x+5|+4<12 ?
The solution to |x+5|+4<12 is -13<x<3