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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x|+|x-1|=3

∣ x ∣ + ∣ x - 1 ∣ = 3

x = - 1 or x = 2

Solution steps

∣ x ∣ + ∣ x - 1 ∣ = 3

Find positive and negative intervals

x < 0, 0 \leq x < 1, x \geq 1

Solve the inequality for each interval

x = - 1 or No Solution or x = 2

x = - 1 or x = 2

∣ 3 x + 2 ∣ - 4 = 5 - 8

∣ 3 - 2 x ∣ = x + 2

∣ 3 x + 2 ∣ = x + 1

∣ x - 4 ∣ + ∣ x - 8 ∣ + ∣ x - 12 ∣ = - 3

∣ x + 5 ∣ = 12