en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-x^2-2x<=-3

Solution

- x^{2} - 2 x \leq - 3

Solution

x \leq - 3 or x \geq 1

+1

Interval Notation

(- \infty, - 3] \cup [1, \infty)

Solution steps

- x^{2} - 2 x \leq - 3

Rewrite in standard form

- x^{2} - 2 x + 3 \leq 0

Factor

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

- (x - 1) (x + 3) \leq 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x - 1) (x + 3)) (- 1) \geq 0 \cdot (- 1)

Simplify

(x - 1) (x + 3) \geq 0

Identify the intervals

x \leq - 3 or x \geq 1

Popular Examples

6 x^{2} - 12 x = 0

- 3 < x < 7

e^{4 x - 2} \geq 16

3 + 2 x = - x + 1

simplify 4/(\sqrt[3]{5)}simplify

Frequently Asked Questions (FAQ)

What is -x^2-2x<=-3 ?
The solution to -x^2-2x<=-3 is x<=-3\lor x>= 1