What is |x+2|<|2x-3| ?

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x+2|<|2x-3|

∣ x + 2 ∣ < ∣ 2 x - 3 ∣

x < \frac{1}{3} or x > 5

Interval Notation

(- \infty, \frac{1}{3}) \cup (5, \infty)

Decimal Notation

x < 0.33333 \dots or x > 5

Solution steps

∣ x + 2 ∣ < ∣ 2 x - 3 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

x < - 2 or - 2 \leq x < \frac{1}{3} or x > 5

Merge Overlapping Intervals

x < \frac{1}{3} or x > 5

5 (\frac{1}{2})

- 8 = - (x + 4)

z^{2} + 4 z - 45 = 0

\frac{3 h}{4} = 9

\frac{28}{7}