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Popular >

x^3>x

Solution

x^{3} > x

Solution

- 1 < x < 0 or x > 1

+1

Interval Notation

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

Solution steps

x^{3} > x

Rewrite in standard form

x^{3} - x > 0

Factor

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

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

Identify the intervals

- 1 < x < 0 or x > 1

Popular Examples

7 (3 - x) = 8 (4 - 2 x)

simplify-(20)/(-4)simplify

- \frac{20}{- 4}

simplify 49/5-5 simplify

\frac{49}{5} - 5

7 (1 - y) = - 3 (y - 2)

simplify 10^6*10^{-2}simplify

1 0^{6} \cdot 1 0^{- 2}

Frequently Asked Questions (FAQ)

What is x^3>x ?
The solution to x^3>x is -1<x<0\lor x>1