What is the answer to |x-1|+|x-2|+|x-3|=2 ?

The answer to |x-1|+|x-2|+|x-3|=2 is 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|+|x-3|=2

∣ x - 1 ∣ + ∣ x - 2 ∣ + ∣ x - 3 ∣ = 2

x = 2

Solution steps

∣ x - 1 ∣ + ∣ x - 2 ∣ + ∣ x - 3 ∣ = 2

Find positive and negative intervals

x < 1, 1 \leq x < 2, 2 \leq x < 3, x \geq 3

Solve the inequality for each interval

No Solution or x = 2

x = 2

∣ x - 1 ∣ + ∣ x - 2 ∣ + ∣ x - 3 ∣ = 6

x^{2} + x + 1 - x^{2} - x - 1 = 0

∣ 3 x - 5 ∣ = 4

∣ 3 - x ∣ = 5

(x - 1)^{2} + 4 ∣ x - 1 ∣ + 3 = 0

What is the answer to |x-1|+|x-2|+|x-3|=2 ?
The answer to |x-1|+|x-2|+|x-3|=2 is x=2
Solve for x: |x-1|+|x-2|+|x-3|=2
The solution is x=2