Given the inequality:
$$2 x \geq 0$$
To solve this inequality, we must first solve the corresponding equation:
$$2 x = 0$$
Solve:
Given the linear equation:
2*x = 0
Divide both parts of the equation by 2
x = 0 / (2)
$$x_{1} = 0$$
$$x_{1} = 0$$
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:
$$x_{0} \leq x_{1}$$
For example, let's take the point
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{1}{10}$$
=
$$- \frac{1}{10}$$
substitute to the expression
$$2 x \geq 0$$
$$\frac{\left(-1\right) 2}{10} \geq 0$$
-1/5 >= 0
but
-1/5 < 0
Then
$$x \leq 0$$
no execute
the solution of our inequality is:
$$x \geq 0$$
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