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Popular >

|(3x-2)^3|<1

Solution

(3 x - 2)^{3} < 1

Solution

\frac{1}{3} < x < 1

+2

Interval Notation

(\frac{1}{3}, 1)

Decimal Notation

0.33333 \dots < x < 1

Solution steps

(3 x - 2)^{3} < 1

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 1 < (3 x - 2)^{3} < 1

(3 x - 2)^{3} > - 1 and (3 x - 2)^{3} < 1

x > \frac{1}{3} and x < 1

Merge Overlapping Intervals

\frac{1}{3} < x < 1

Popular Examples

5 - 3 x \leq - 1

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\frac{9}{4} - \frac{9}{2}

simplify (2/3)^3 simplify

(\frac{2}{3})^{3}

simplify 6*10^{-5}simplify

6 \cdot 1 0^{- 5}

simplify log_{6}(25)simplify

lo g_{6} (25)

Frequently Asked Questions (FAQ)

What is |(3x-2)^3|<1 ?
The solution to |(3x-2)^3|<1 is 1/3 <x<1