The second statement is the
of the first

The second statement is the CONVERSE of the first.

Step-by-step explanation:

x ⇒ y > Statement

y ⇒ x > Converse

Say there is a statement as follows:

If it rains then it is a holiday.

The converse of the statement would be:

If it is a holiday then it is raining.

In Mathematics, the converse of statements need not always be true.

For example, the school wouldn't be closed only when it is raining. It could close for many other reasons as well.

Consider the following mathematical example.

Statement: If f is a function, then it is a relation.

Converse:   If f is a relation then it is a function, which need not always be true.

When the converse of a statement is also true we can say it is an if and only if (iff) statement.

Statement: If a - b > 0, then a > b.

Converse: If a > b then a - b > 0.

Here, the converse is also true.

W can write the statement as:

a - b > 0 ⇔ a > b

Hope this helps :)!

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step-by-step explanation:

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