What is the answer to |2x+1|-2|x-2|=5 ?

The answer to |2x+1|-2|x-2|=5 is x>= 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|2x+1|-2|x-2|=5

∣ 2 x + 1 ∣ - 2 ∣ x - 2 ∣ = 5

x \geq 2

Solution steps

∣ 2 x + 1 ∣ - 2 ∣ x - 2 ∣ = 5

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x \geq 2

Merge Overlapping Intervals

x \geq 2

∣ x - 1 ∣ + ∣ x - 4 ∣ = 3

∣ 2 x ∣ + ∣ x - 5 ∣ = 8

6 \frac{( 4 w - 1 )}{6} = \frac{( 2 w )}{3} + \frac{1}{4}

(x - 1 - x^{2})^{3} + x^{2} - x + 1 = 0

∣ x - 3 ∣ = 5 - 2 x