Mister Exam
(sqrt(x^6))>=0 inequation
The solution
Detail solution
Given the inequality:
$$\sqrt{x^{6}} \geq 0$$
To solve this inequality, we must first solve the corresponding equation:
$$\sqrt{x^{6}} = 0$$
Solve:
$$x_{1} = 0$$
$$x_{1} = 0$$
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
$$\sqrt{x^{6}} \geq 0$$
$$\sqrt{\left(- \frac{1}{10}\right)^{6}} \geq 0$$
the solution of our inequality is:
$$x \leq 0$$
$$\sqrt{x^{6}} \geq 0$$
To solve this inequality, we must first solve the corresponding equation:
$$\sqrt{x^{6}} = 0$$
Solve:
$$x_{1} = 0$$
$$x_{1} = 0$$
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
$$\sqrt{x^{6}} \geq 0$$
$$\sqrt{\left(- \frac{1}{10}\right)^{6}} \geq 0$$
1/1000 >= 0
the solution of our inequality is:
$$x \leq 0$$
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x1
Solving inequality on a graph
Rapid solution
This inequality holds true always