sinx-10>0 inequation

Given the inequality:
$$\sin{\left(x \right)} - 10 > 0$$
To solve this inequality, we must first solve the corresponding equation:
$$\sin{\left(x \right)} - 10 = 0$$
Solve:
Given the equation
$$\sin{\left(x \right)} - 10 = 0$$
- this is the simplest trigonometric equation

Move -10 to right part of the equation

with the change of sign in -10

We get:
$$\sin{\left(x \right)} = 10$$
As right part of the equation
modulo =

True

but sin
can no be more than 1 or less than -1
so the solution of the equation d'not exist.
$$x_{1} = \pi - \operatorname{asin}{\left(10 \right)}$$
$$x_{2} = \operatorname{asin}{\left(10 \right)}$$
Exclude the complex solutions:
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

$$-10 + \sin{\left(0 \right)} > 0$$

-10 > 0

so the inequality has no solutions