en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x-5|<6

Solution

∣ x - 5 ∣ < 6

Solution

- 1 < x < 11

+1

Interval Notation

(- 1, 11)

Solution steps

∣ x - 5 ∣ < 6

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 6 < x - 5 < 6

x - 5 > - 6 and x - 5 < 6

x > - 1 and x < 11

Merge Overlapping Intervals

- 1 < x < 11

Popular Examples

simplify (0.2)^3 simplify

(0.2)^{3}

simplify-(2i)/(3+i)-(2i)/(3-i)simplify

- \frac{2 i}{3 + i} - \frac{2 i}{3 - i}

simplify (14b+3)/(3b)-(2b)/(3b)simplify

\frac{14 b + 3}{3 b} - \frac{2 b}{3 b}

factor z^2-64 factor

z^{2} - 64

4 x - 1 + 2 x + 7 > x + 13

Frequently Asked Questions (FAQ)

What is |x-5|<6 ?
The solution to |x-5|<6 is -1<x<11