en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

| 1/6 x+6|+2<3

Solution

\frac{1}{6} x + 6 + 2 < 3

Solution

- 42 < x < - 30

+1

Interval Notation

(- 42, - 30)

Solution steps

\frac{1}{6} x + 6 + 2 < 3

Move

2

to the right side

\frac{1}{6} x + 6 < 1

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 1 < \frac{1}{6} x + 6 < 1

\frac{1}{6} x + 6 > - 1 and \frac{1}{6} x + 6 < 1

x > - 42 and x < - 30

Merge Overlapping Intervals

- 42 < x < - 30

Popular Examples

factor 2x^4-5x^2-3 factor

2 x^{4} - 5 x^{2} - 3

2 y^{2} + 1 = 6 y

simplify (2/3)^1 simplify

(\frac{2}{3})^{1}

\frac{x + 6}{x - 6} < 0

(3x+5)-2(-7x+8)=7(-x+2)

(3 x + 5) - 2 (- 7 x + 8) = 7 (- x + 2)

Frequently Asked Questions (FAQ)

What is | 1/6 x+6|+2<3 ?
The solution to | 1/6 x+6|+2<3 is -42<x<-30