The solution to -2x^2>x-1 is -1<x< 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-2x^2>x-1

Solution

- 2 x^{2} > x - 1

- 1 < x < \frac{1}{2}

Interval Notation

(- 1, \frac{1}{2})

Decimal Notation

- 1 < x < 0.5

Solution steps

- 2 x^{2} > x - 1

Rewrite in standard form

- 2 x^{2} + 1 - x > 0

Factor

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

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

Multiply both sides by

- 1

(reverse the inequality)

(- (2 x - 1) (x + 1)) (- 1) < 0 \cdot (- 1)

Simplify

(2 x - 1) (x + 1) < 0

Identify the intervals

- 1 < x < \frac{1}{2}

3 w^{2} - 5 w - 50 = 0

4 = 6 x - \frac{1}{2}

1 + \frac{1}{e}

2 x^{2} - x = - 7

\frac{2 x + 1}{3 x - 6} \geq 3