What is the answer to |x-1|-|x+3|=-4 ?

The answer to |x-1|-|x+3|=-4 is x>= 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x-1|-|x+3|=-4

∣ x - 1 ∣ - ∣ x + 3 ∣ = - 4

x \geq 1

Solution steps

∣ x - 1 ∣ - ∣ x + 3 ∣ = - 4

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x \geq 1

Merge Overlapping Intervals

x \geq 1

∣ 3 x - 9 ∣ - 24 = - 12

∣ 8 x - 1 ∣ = 3 x

∣ 3 x - 2 ∣ + 2 = 5

∣ x + 3 ∣ - ∣ x - 1 ∣ = x + 1

x^{2} + x - 6 = 0