en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x+5|<3

Solution

∣ x + 5 ∣ < 3

Solution

- 8 < x < - 2

+1

Interval Notation

(- 8, - 2)

Solution steps

∣ x + 5 ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < x + 5 < 3

x + 5 > - 3 and x + 5 < 3

x > - 8 and x < - 2

Merge Overlapping Intervals

- 8 < x < - 2

Popular Examples

-25+6q=(15-1)/(5q)

- 25 + 6 q = \frac{15 - 1}{5 q}

simplify (5^{10})/(5^{12)}simplify

\frac{5 ^{10}}{5 ^{12}}

simplify 7*7 simplify

7 \cdot 7

8b^2-13b+6=5b^2

8 b^{2} - 13 b + 6 = 5 b^{2}

simplify ((3k^3)^3)/(12k^{-8)}simplify

\frac{( 3 k ^{3} ) ^{3}}{12 k ^{- 8}}

Frequently Asked Questions (FAQ)

What is |x+5|<3 ?
The solution to |x+5|<3 is -8<x<-2