What is |(x+1)^3|-3<0 ?

The solution to |(x+1)^3|-3<0 is -\sqrt[3]{3}-1<x<\sqrt[3]{3}-1

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

(x + 1)^{3} - 3 < 0

Interval Notation

Decimal Notation

- 2.44224 \dots < x < 0.44224 \dots

Solution steps

(x + 1)^{3} - 3 < 0

Move

3

to the right side

(x + 1)^{3} < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

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

(x + 1)^{3} > - 3 and (x + 1)^{3} < 3

Merge Overlapping Intervals

- 9 < x + 11 < - 2

9 + x = 19

∣ 7 m ∣ + 3 = 73

∣ 2 x - 5 ∣ = 1

828

What is |(x+1)^3|-3<0 ?
The solution to |(x+1)^3|-3<0 is -\sqrt[3]{3}-1<x<\sqrt[3]{3}-1