Answer
The above statement is a bi-conditional statement because the original statement “I breathe when I sleep” and the converse statement “I sleep when I breathe” are equally same.
Work Step by Step
If converse of a conditional statement is true, then both can be combined together to get a bi-conditional statement.
The provided statement is “I breathe when I sleep”, is the same thing as “I sleep when I breathe!”
The above statement is a bi-conditional statement because the original statement “I breathe when I sleep” and the converse statement “I sleep when I breathe” are equally same.
From above statement, it can be observed that in a bi-conditional statement,the original statement and the converse of it are equally same.
But for a conditional statement, the original statement and converse of it are not equally same.
Example:
Take another example of a conditional statement, “If two angle has the same measure, then they are congruent”.
The converse of the above statement is “If two angles are congruent then they have the same measure”.
It can be seen that the converse and the original statement are same and then the bi-conditional statement can be combined as “two angles have the same measure if and only if they are congruent”.
