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Popular >

-x^2-x+2>0

Solution

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

Solution

- 2 < x < 1

+1

Interval Notation

(- 2, 1)

Solution steps

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

Factor

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

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

Multiply both sides by

- 1

(reverse the inequality)

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

Simplify

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

Identify the intervals

- 2 < x < 1

Popular Examples

factor-3x^2+x+2 factor

- 3 x^{2} + x + 2

5 x^{2} = 41 - 5 x

simplify 1/9+2/3 simplify

\frac{1}{9} + \frac{2}{3}

8 r - 6 r + 2 = 5 r - r

factor x^2-20x factor

x^{2} - 20 x

Frequently Asked Questions (FAQ)

What is -x^2-x+2>0 ?
The solution to -x^2-x+2>0 is -2<x<1