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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

∣ x + 2 ∣ \geq ∣ 2 x - 1 ∣

- \frac{1}{3} \leq x \leq 3

Interval Notation

[- \frac{1}{3}, 3]

Decimal Notation

- 0.33333 \dots \leq x \leq 3

Solution steps

∣ x + 2 ∣ \geq ∣ 2 x - 1 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or - \frac{1}{3} \leq x < \frac{1}{2} or \frac{1}{2} \leq x \leq 3

Merge Overlapping Intervals

- \frac{1}{3} \leq x \leq 3

2 p + 9 = 27

30 = - 5 (6 n + 6)

x^{2} - 10 x + 25 = 81

\frac{3}{8} = \frac{x}{24}

2 x - \frac{1}{3} > \frac{3 x}{2}