Mister Exam
(z-1+i)>=1 inequation
The solution
Detail solution
Given the inequality:
$$\left(z - 1\right) + i \geq 1$$
To solve this inequality, we must first solve the corresponding equation:
$$\left(z - 1\right) + i = 1$$
Solve:
$$x_{1} = 2 - 1 i$$
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
$$\left(z - 1\right) + i \geq 1$$
so the inequality has no solutions
$$\left(z - 1\right) + i \geq 1$$
To solve this inequality, we must first solve the corresponding equation:
$$\left(z - 1\right) + i = 1$$
Solve:
$$x_{1} = 2 - 1 i$$
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
$$\left(z - 1\right) + i \geq 1$$
-1 + I + z >= 1
so the inequality has no solutions