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Popular >

-x^3+x^2-2x>0

Solution

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

Solution

x < 0

+1

Interval Notation

(- \infty, 0)

Solution steps

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

Factor

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

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

Multiply both sides by

- 1

(reverse the inequality)

(- x (x^{2} - x + 2)) (- 1) < 0 \cdot (- 1)

Simplify

x (x^{2} - x + 2) < 0

Identify the intervals

x < 0

Popular Examples

(3x^2-x-4)(x-1)(2x-3)>0

(3 x^{2} - x - 4) (x - 1) (2 x - 3) > 0

x^2+2x-10>2(x-5)

x^{2} + 2 x - 10 > 2 (x - 5)

((x^2-1))/((x^2))>0

\frac{( x ^{2} - 1 )}{( x ^{2} )} > 0

1/((x+1))< 2/((3x-1))

\frac{1}{( x + 1 )} < \frac{2}{( 3 x - 1 )}

(2x^2-13x-27)(x^2-2x+6)<= 0

(2 x^{2} - 13 x - 27) (x^{2} - 2 x + 6) \leq 0

Frequently Asked Questions (FAQ)

What is -x^3+x^2-2x>0 ?
The solution to -x^3+x^2-2x>0 is x<0