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Popular >

x<x^2

Solution

x < x^{2}

Solution

x < 0 or x > 1

+1

Interval Notation

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

Solution steps

x < x^{2}

Rewrite in standard form

x - x^{2} < 0

Factor

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

- x (x - 1) < 0

Multiply both sides by

- 1

(reverse the inequality)

(- x (x - 1)) (- 1) > 0 \cdot (- 1)

Simplify

x (x - 1) > 0

Identify the intervals

x < 0 or x > 1

Popular Examples

((x^2+2x+2))/(((x-2)(x+3)))>0

\frac{( x ^{2} + 2 x + 2 )}{( ( x - 2 ) ( x + 3 ) )} > 0

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

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

log_{10}(0.5)(x/((x+1)))<-1

lo g_{10} (0.5) (\frac{x}{( x + 1 )}) < - 1

x/((4x+9)(3-7x))>0

\frac{x}{( 4 x + 9 ) ( 3 - 7 x )} > 0

- 2 x^{2} - 2 x - 1 < 0

Frequently Asked Questions (FAQ)

What is x<x^2 ?
The solution to x<x^2 is x<0\lor x>1