Final answer:
The statement 'TRUE FALSE X --> Y' discusses the relationship between X and Y, where if two tuples have the same value for X, they must also have the same value for Y. However, this relationship is not symmetrical. X is always sufficient for Y, but Y is not necessary for X.
Step-by-step explanation:
The statement 'TRUE FALSE X --> Y' is talking about the relationship between two variables, X and Y. In this statement, if two tuples have the same value for X, then they must also have the same value for Y. However, this relationship is not symmetrical. Y is always necessary for X, but X is not necessary for Y. This means that X being true is always sufficient for Y to be true, but Y being true does not guarantee that X is also true.
For example, let's say X represents the event of raining and Y represents the event of the ground being wet. If it is raining (X is true), then the ground will be wet (Y is true). However, if the ground is wet (Y is true), it does not necessarily mean that it is raining (X is true). The ground could be wet for other reasons, like someone washing it.
This concept is valid reasoning and can be used in various fields, including mathematics and logic.