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Popular >

(x-1)^3<4(x-1)

Solution

(x - 1)^{3} < 4 (x - 1)

Solution

x < - 1 or 1 < x < 3

+1

Interval Notation

(- \infty, - 1) \cup (1, 3)

Solution steps

(x - 1)^{3} < 4 (x - 1)

Rewrite in standard form

x^{3} - 3 x^{2} - x + 3 < 0

Factor

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

(x - 3) (x + 1) (x - 1) < 0

Identify the intervals

x < - 1 or 1 < x < 3

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Frequently Asked Questions (FAQ)

What is (x-1)^3<4(x-1) ?
The solution to (x-1)^3<4(x-1) is x<-1\lor 1<x<3