What is the converse of:

Question

If
and
, then

If
then
or

and
if, and only if,

If
or
, then

If
, then
and

Answer 1

To find the converse of a statement, we switch the hypothesis and the conclusion. Let's look at the provided statements one by one:

1. Statement: If \( P \) and \( Q \), then \( R \).

   • Converse: If \( R \), then \( P \) and \( Q \).

2. Statement: If \( A \), then \( B \) or \( C \) if, and only if, \( D \).

   • Converse: If \( B \) or \( C \), then \( A \) if, and only if, \( D \).

3. Statement: If \( X \) or \( Y \), then \( Z \).

   • Converse: If \( Z \), then \( X \) or \( Y \).

4. Statement: If \( M \), then \( N \) and \( O \).

   • Converse: If \( N \) and \( O \), then \( M \).

These are the converses of the provided statements.