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2*x>=0 inequation

A inequation with variable

The solution

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2*x >= 0
$$2 x \geq 0$$
2*x >= 0
Detail solution
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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Solving inequality on a graph
Rapid solution [src]
And(0 <= x, x < oo)
$$0 \leq x \wedge x < \infty$$
(0 <= x)∧(x < oo)
Rapid solution 2 [src]
[0, oo)
$$x\ in\ \left[0, \infty\right)$$
x in Interval(0, oo)