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 ∣ \leq 6

Solution

- 1 \leq x \leq 11

+1

Interval Notation

[- 1, 11]

Solution steps

∣ x - 5 ∣ \leq 6

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 6 \leq x - 5 \leq 6

x - 5 \geq - 6 and x - 5 \leq 6

x \geq - 1 and x \leq 11

Merge Overlapping Intervals

- 1 \leq x \leq 11

Popular Examples

3 x^{2} - 9 = - 21

299x^2+100x=500-101x^2

299 x^{2} + 100 x = 500 - 101 x^{2}

4 x + 3 \geq 7 x - 1

factor s^3+2s^2+s factor

s^{3} + 2 s^{2} + s

simplify (-1.38*303.15)/(-1.6*10^{-4)}simplify

\frac{- 1.38 \cdot 303.15}{- 1.6 \cdot 1 0 ^{- 4}}

Frequently Asked Questions (FAQ)

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