What is the answer to |x|+|x-2|+|x-4|=5 ?

The answer to |x|+|x-2|+|x-4|=5 is x=1\lor x=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x|+|x-2|+|x-4|=5

∣ x ∣ + ∣ x - 2 ∣ + ∣ x - 4 ∣ = 5

x = 1 or x = 3

Solution steps

∣ x ∣ + ∣ x - 2 ∣ + ∣ x - 4 ∣ = 5

Find positive and negative intervals

x < 0, 0 \leq x < 2, 2 \leq x < 4, x \geq 4

Solve the inequality for each interval

No Solution or x = 1 or x = 3

x = 1 or x = 3

∣ x - 2 ∣ - 4 = 1

x^{2} - 4 = x^{2} - 4

∣ x + 1 ∣ + 3 ∣ x - 2 ∣ + 5 ∣ x - 4 ∣ = 20

y, x^{2} + (y - ∣ x ∣)^{2} = 1

\frac{∣ x ∣ + 2}{5} = \frac{5}{6}

What is the answer to |x|+|x-2|+|x-4|=5 ?
The answer to |x|+|x-2|+|x-4|=5 is x=1\lor x=3
Solve for x: |x|+|x-2|+|x-4|=5
The solution is x=1\lor x=3