x^+1.3>0 inequation

Given the inequality:
$$x^{\frac{13}{10}} > 0$$
To solve this inequality, we must first solve the corresponding equation:
$$x^{\frac{13}{10}} = 0$$
Solve:
Given the equation
$$x^{\frac{13}{10}} = 0$$
so
$$x = 0$$
We get the answer: x = 0
$$x_{1} = 0$$
$$x_{1} = 0$$
This roots
$$x_{1} = 0$$
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
$$x_{0} < x_{1}$$
For example, let's take the point
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{1}{10}$$
=
$$- \frac{1}{10}$$
substitute to the expression
$$x^{\frac{13}{10}} > 0$$
$$\left(- \frac{1}{10}\right)^{\frac{13}{10}} > 0$$

     3/10   7/10     
-(-1)    *10         
----------------- > 0
       100           
    

Then
$$x < 0$$
no execute
the solution of our inequality is:
$$x > 0$$

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       x1