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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x-3|+|x-2|=1

∣ x - 3 ∣ + ∣ x - 2 ∣ = 1

2 \leq x \leq 3

Solution steps

∣ x - 3 ∣ + ∣ x - 2 ∣ = 1

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or 2 \leq x < 3 or x = 3

Merge Overlapping Intervals

2 \leq x \leq 3

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

∣ x - 5 ∣ - ∣ 2 + x ∣ = 4

5 x^{2} - 3 = 2

3 x^{2} - 4 x^{2} - 1 + x - 1 = 0

∣ x - 2 ∣ + ∣ x - 5 ∣ = 3