en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|2x-1|<= 1

Solution

∣ 2 x - 1 ∣ \leq 1

Solution

0 \leq x \leq 1

+1

Interval Notation

[0, 1]

Solution steps

∣ 2 x - 1 ∣ \leq 1

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 1 \leq 2 x - 1 \leq 1

2 x - 1 \geq - 1 and 2 x - 1 \leq 1

x \geq 0 and x \leq 1

Merge Overlapping Intervals

0 \leq x \leq 1

Popular Examples

x^{4} - 9 x^{2} + 8 = 0

9 x + 5 - 8 x + 14 = 20

simplify (18x^3y^3)/(12x^4y^7)simplify

\frac{18 x ^{3} y ^{3}}{12 x ^{4} y ^{7}}

simplify 125^{-2/3}simplify

12 5^{- \frac{2}{3}}

14 x - 6 < 24 - 4 x

Frequently Asked Questions (FAQ)

What is |2x-1|<= 1 ?
The solution to |2x-1|<= 1 is 0<= x<= 1