What is 1-1/(x^{2/3)}>0 ?

The solution to 1-1/(x^{2/3)}>0 is -1<x<1

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1-1/(x^{2/3)}>0

1 - \frac{1}{x ^{\frac{2}{3}}} > 0

- 1 < x < 1

Interval Notation

(- 1, 1)

Solution steps

1 - \frac{1}{x ^{\frac{2}{3}}} > 0

Move

1

to the right side

- \frac{1}{x ^{\frac{2}{3}}} > - 1

Multiply both sides by

- 1

\frac{1}{x ^{\frac{2}{3}}} < 1

\frac{1}{a} < 0

then

a < 0

x^{\frac{2}{3}} < 1

Take both sides of the equation to the power of

3

(x^{\frac{2}{3}})^{3} < 1^{3}

Simplify

x^{2} < 1

x^{2} < 1 : - 1 < x < 1

- 1 < x < 1

9 x^{2} = 64

∣ x - 1 ∣ = 0.03

\frac{15 !}{( 15 - 5 ) ! 5 !}

2 (- 4 x + 5) - 4 x + 1 = - 49

\frac{3 x - 1}{2} = \frac{2 x + 3}{3}