en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

| 1/2 x-3|-4<2

Solution

\frac{1}{2} x - 3 - 4 < 2

Solution

- 6 < x < 18

+1

Interval Notation

(- 6, 18)

Solution steps

\frac{1}{2} x - 3 - 4 < 2

Move

4

to the right side

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

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

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

\frac{1}{2} x - 3 > - 6 and \frac{1}{2} x - 3 < 6

x > - 6 and x < 18

Merge Overlapping Intervals

- 6 < x < 18

Popular Examples

4 x^{2} + 7 x = 7

- 7 y = - 91

x^2=(4*10^{-9}-x)*1.862*10^{-10}

x^{2} = (4 \cdot 1 0^{- 9} - x) \cdot 1.862 \cdot 1 0^{- 10}

factor 2z^2-9z+7 factor

2 z^{2} - 9 z + 7

simplify sqrt(195)simplify

195

Frequently Asked Questions (FAQ)

What is | 1/2 x-3|-4<2 ?
The solution to | 1/2 x-3|-4<2 is -6<x<18