What is |x-3|+2|x+1|>4 ?

The solution to |x-3|+2|x+1|>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-3|+2|x+1|>4

∣ x - 3 ∣ + 2 ∣ x + 1 ∣ > 4

x < - 1 or x > - 1

Solution steps

∣ x - 3 ∣ + 2 ∣ x + 1 ∣ > 4

Find positive and negative intervals

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

Solve the inequality for each interval

x < - 1 or - 1 < x < 3 or x \geq 3

Merge Overlapping Intervals

x < - 1 or x > - 1

\frac{x + 1}{x} < \frac{5}{2}

2 - 4 ∣ 2 x + 4 ∣ < - 26

∣ 2 x - a ∣ < 3

x^{2} + 2 ∣ x + 3 ∣ - 10 \leq 0

∣ x - 6 ∣ > x^{2} - 5 x + 9