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Popular >

4x<= x^3

Solution

4 x \leq x^{3}

Solution

- 2 \leq x \leq 0 or x \geq 2

+1

Interval Notation

[- 2, 0] \cup [2, \infty)

Solution steps

4 x \leq x^{3}

Rewrite in standard form

4 x - x^{3} \leq 0

Factor

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

- x (x + 2) (x - 2) \leq 0

Multiply both sides by

- 1

(reverse the inequality)

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

Simplify

x (x + 2) (x - 2) \geq 0

Identify the intervals

- 2 \leq x \leq 0 or x \geq 2

Popular Examples

simplify (-9)^{-1}simplify

(- 9)^{- 1}

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12 x + 24

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x^{2} + 1 x - 30

factor x^3-x-6 factor

x^{3} - x - 6

simplify 1/((n-1)^2)+1/(n-1)-1/((n-1)^3)-1/n simplify

\frac{1}{( n - 1 ) ^{2}} + \frac{1}{n - 1} - \frac{1}{( n - 1 ) ^{3}} - \frac{1}{n}

Frequently Asked Questions (FAQ)

What is 4x<= x^3 ?
The solution to 4x<= x^3 is -2<= x<= 0\lor x>= 2