What is |x-1|>|x-2| ?

The solution to |x-1|>|x-2| is x> 3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x-1|>|x-2|

∣ x - 1 ∣ > ∣ x - 2 ∣

x > \frac{3}{2}

Interval Notation

(\frac{3}{2}, \infty)

Decimal Notation

x > 1.5

Solution steps

∣ x - 1 ∣ > ∣ x - 2 ∣

Find positive and negative intervals

x < 1, 1 \leq x < 2, x \geq 2

Solve the inequality for each interval

No Solution or \frac{3}{2} < x < 2 or x \geq 2

Merge Overlapping Intervals

x > \frac{3}{2}

∣ 4 x - 5 ∣ < 8

∣ 2 x + 1 ∣ + ∣ 2 x - 1 ∣ > 5

\frac{( x - 4 )}{( x ^{2} - 36 )} \leq 0

3 ∣ x - 3 ∣ + ∣ x + 4 ∣ \geq 12

x^{2} - 5 x + 4 - x^{2} - 4 < 0