Mister Exam

arctgx>5 inequation

A inequation with variable

The solution

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acot(x) > 5
$$\operatorname{acot}{\left(x \right)} > 5$$
acot(x) > 5
Detail solution
Given the inequality:
$$\operatorname{acot}{\left(x \right)} > 5$$
To solve this inequality, we must first solve the corresponding equation:
$$\operatorname{acot}{\left(x \right)} = 5$$
Solve:
This equation has no roots,
this inequality is executed for any x value or has no solutions
check it
subtitute random point x, for example
x0 = 0

$$\operatorname{acot}{\left(0 \right)} > 5$$
pi    
-- > 5
2     

so the inequality has no solutions
Rapid solution
This inequality has no solutions