Chapter 6.2, Problem 20WE

To determine

To write: Contrapositive of the converse of the inverse of the given conditional statement.

Answer to Problem 20WE

If r, then s

Explanation of Solution

Given information: The conditional statement is “If r, then s”.

For a conditional statement “If p, then q”:

Converse is If q, then p

Inverse is If not p, then not q.

Contrapositive is If not q, then not p

Now we will find the contrapositive of the converse of the inverse of the given conditional statement.

The conditional statement is, “If r, then s”.

Its inverse is, “If not r, then not s”

Then converse is, If not s, then not r.

Contrapositive is, If r, then s