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Popular >

64x<= x^3

Solution

64 x \leq x^{3}

Solution

- 8 \leq x \leq 0 or x \geq 8

+1

Interval Notation

[- 8, 0] \cup [8, \infty)

Solution steps

64 x \leq x^{3}

Rewrite in standard form

64 x - x^{3} \leq 0

Factor

64 x - x^{3} : - x (x + 8) (x - 8)

- x (x + 8) (x - 8) \leq 0

Multiply both sides by

- 1

(reverse the inequality)

(- x (x + 8) (x - 8)) (- 1) \geq 0 \cdot (- 1)

Simplify

x (x + 8) (x - 8) \geq 0

Identify the intervals

- 8 \leq x \leq 0 or x \geq 8

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Frequently Asked Questions (FAQ)

What is 64x<= x^3 ?
The solution to 64x<= x^3 is -8<= x<= 0\lor x>= 8