What is the answer to |x-3|-|x-5|=2 ?

The answer to |x-3|-|x-5|=2 is x>= 5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x-3|-|x-5|=2

∣ x - 3 ∣ - ∣ x - 5 ∣ = 2

x \geq 5

Solution steps

∣ x - 3 ∣ - ∣ x - 5 ∣ = 2

Find positive and negative intervals

x < 3, 3 \leq x < 5, x \geq 5

Solve the inequality for each interval

No Solution or x \geq 5

Merge Overlapping Intervals

x \geq 5

x^{2} - 2 x + ∣ x - 3 ∣ = 4

2 ∣ 3 - x ∣ + 3 ∣ x - 1 ∣ = 4

∣ x ∣ - 2 x + 5 = 0

[∣ x - 1 ∣] + [∣ 7 - x ∣] = 6

∣ x + 2 ∣ = ∣ x ∣