Answer to Question #129110 in Discrete Mathematics for Hazha

Question

F(x)=x is one to one function true or false

Answer 1

True. The function $F(x)=x$ is one to one function.

Let $x_1\not= x_2, x_1,x_2\in \Bbb{R}$ Then

$$y_1=F(x_1)=x_1\not=x_2=F(x_2)=y_2, x_1, x_2\in\Bbb{R}$$

Therefore the function $F(x)=x$ is one to one function.