What is the answer to |x-1|+|x-2|=1 ?

The answer to |x-1|+|x-2|=1 is 1<= x<= 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|=1

∣ x - 1 ∣ + ∣ x - 2 ∣ = 1

1 \leq x \leq 2

Solution steps

∣ x - 1 ∣ + ∣ x - 2 ∣ = 1

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or 1 \leq x < 2 or x = 2

Merge Overlapping Intervals

1 \leq x \leq 2

∣ 2 x + 1 ∣ = ∣ 4 x - 3 ∣

∣ 3 x - 4 ∣ = 0

∣ x - 1 ∣ + ∣ 2 x + 11 ∣ = 6

x^{2} + x + 1 = 5

\frac{x - \frac{2}{5} - 1}{6} = (- \frac{2}{3})^{0}