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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|2x-1|>|x+2|

∣ 2 x - 1 ∣ > ∣ x + 2 ∣

x < - \frac{1}{3} or x > 3

Solution steps

∣ 2 x - 1 ∣ > ∣ x + 2 ∣

Find positive and negative intervals

x < - 2, - 2 \leq x < \frac{1}{2}, x \geq \frac{1}{2}

Solve the inequality for each interval

x < - 2 or - 2 \leq x < - \frac{1}{3} or x > 3

Merge Overlapping Intervals

x < - \frac{1}{3} or x > 3

x^{2} > 4

- x^{2} + 6 x - 9

f = 6^{3} - 9 \cdot 6

3 x - 0 = 6