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Popular >

x^3-x^2>= 3-3x

Solution

x^{3} - x^{2} \geq 3 - 3 x

Solution

x \geq 1

+1

Interval Notation

[1, \infty)

Solution steps

x^{3} - x^{2} \geq 3 - 3 x

Rewrite in standard form

x^{3} - x^{2} + 3 x - 3 \geq 0

Factor

x^{3} - x^{2} + 3 x - 3 : (x - 1) (x^{2} + 3)

(x - 1) (x^{2} + 3) \geq 0

Identify the intervals

x \geq 1

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Frequently Asked Questions (FAQ)

What is x^3-x^2>= 3-3x ?
The solution to x^3-x^2>= 3-3x is x>= 1