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

The solution to |2x-3|>|x+4| is x 7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|2x-3|>|x+4|

∣ 2 x - 3 ∣ > ∣ x + 4 ∣

x < - \frac{1}{3} or x > 7

Solution steps

∣ 2 x - 3 ∣ > ∣ x + 4 ∣

Find positive and negative intervals

x < - 4, - 4 \leq x < \frac{3}{2}, x \geq \frac{3}{2}

Solve the inequality for each interval

x < - 4 or - 4 \leq x < - \frac{1}{3} or x > 7

Merge Overlapping Intervals

x < - \frac{1}{3} or x > 7

∣ - 0.5 x ∣ < 1

[\frac{( x ^{2} - 5 x + 6 )}{( ∣ x ∣ + 7 )}] < 0

∣ 4 - 3 x ∣ - 2 > 0

∣ 3 x - 1 ∣ > 2 x

∣ 3 x - 2 ∣ \leq 4