What is (x-1)(x+2)(x+3)>(x+2)(x-3) ?

The solution to (x-1)(x+2)(x+3)>(x+2)(x-3) is -2 0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-1)(x+2)(x+3)>(x+2)(x-3)

(x - 1) (x + 2) (x + 3) > (x + 2) (x - 3)

- 2 < x < - 1 or x > 0

Interval Notation

(- 2, - 1) \cup (0, \infty)

Solution steps

(x - 1) (x + 2) (x + 3) > (x + 2) (x - 3)

Rewrite in standard form

x^{3} + 3 x^{2} + 2 x > 0

Factor

x^{3} + 3 x^{2} + 2 x : x (x + 1) (x + 2)

x (x + 1) (x + 2) > 0

Identify the intervals

- 2 < x < - 1 or x > 0

- 10 < 2 + 2 x < 10

x^{2} + 2 x - 3 = 5

3 x = 96

2 π + \frac{π}{6}

- 8 s + 16 = 56

What is (x-1)(x+2)(x+3)>(x+2)(x-3) ?
The solution to (x-1)(x+2)(x+3)>(x+2)(x-3) is -2<x<-1\lor x>0