Question

Conditional statements and converses If an animal is a dog, then it is a mammal. p → q. Given the above conditional statement and its notation, write the statement represented by the following notation. q → p.

a. If an animal is a mammal, then it is a dog.
b. If an animal is not a mammal, then it is not a dog.
c. If an animal is a dog, then it is not a mammal.
d. If an animal is not a dog, then it is not a mammal.

Answer 1

The statement represented by the notation q → p is: If an animal is a mammal, then it is a dog.

Step-by-step explanation:

The given conditional statement is: p → q.

The statement represented by the notation q → p is: a. If an animal is a mammal, then it is a dog.

When we reverse the order of the conditional statement, we switch the roles of the antecedent (p) and the consequent (q). So, in this case, the reversed statement would be: If an animal is a mammal, then it is a dog.