What is the fallacy of the inverse and how does it relate to logical reasoning?

The fallacy of the inverse occurs when someone assumes that if a statement is true, then its opposite must also be true. This is a logical error because just because a statement is true, it does not mean that its opposite is true as well. This fallacy is important in logical reasoning because it highlights the need to carefully evaluate each statement on its own merits, rather than assuming that its opposite must also be true.