en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|2x-3|>= 1

Solution

∣ 2 x - 3 ∣ \geq 1

Solution

x \leq 1 or x \geq 2

+1

Interval Notation

(- \infty, 1] \cup [2, \infty)

Solution steps

∣ 2 x - 3 ∣ \geq 1

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x - 3 \leq - 1 or 2 x - 3 \geq 1

2 x - 3 \leq - 1 or 2 x - 3 \geq 1

x \leq 1 or x \geq 2

Popular Examples

3 (m + 7) + 2 m = 24

2^{5} - 1

factor 125a^3-64b^3 factor

125 a^{3} - 64 b^{3}

factor 128x^2y-8y factor

128 x^{2} y - 8 y

simplify (sqrt(2))/2*(sqrt(2))/2 simplify

\frac{2}{2} \cdot \frac{2}{2}

Frequently Asked Questions (FAQ)

What is |2x-3|>= 1 ?
The solution to |2x-3|>= 1 is x<= 1\lor x>= 2