en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|2x-4|<x-1

Solution

∣ 2 x - 4 ∣ < x - 1

Solution

\frac{5}{3} < x < 3

+2

Solution steps

∣ 2 x - 4 ∣ < x - 1

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

\frac{5}{3} < x < 2 or 2 \leq x < 3

Merge Overlapping Intervals

\frac{5}{3} < x < 3

Popular Examples

x^{2} - x - 2 > 2

|5-x|+|x-13|<|2-x|

∣ 5 - x ∣ + ∣ x - 13 ∣ < ∣ 2 - x ∣

∣ x ∣ + ∣ x - 4 ∣ > 4

(b) ∣ x + 2 ∣ + 2 \geq 0

|((3x+6))/9 |>= 5

\frac{( 3 x + 6 )}{9} \geq 5

Frequently Asked Questions (FAQ)

What is |2x-4|<x-1 ?
The solution to |2x-4|<x-1 is 5/3 <x<3