Answer: The contrapositive statement :"If you do not have a gerbil, then you are not a pet owner.”
It is false.
Counter example : If you have a dog, then you are a pet owner.
Step-by-step explanation:
We know that the contrapositive of a statement of the form " If a then b" is "If not a then not b.
Given: The conditional statement is "If you have a gerbil, then you are a pet owner.”
Then the contrapositive statement will be "If you do not have a gerbil, then you are not a pet owner.”
The contrapositive statement is false.
Counter example : If you have a dog, then you are a pet owner.
Means if you area pet owner then it can be any pet not just gerbil.
Answer:
The contrapositive is false.
Step-by-step explanation:
Given conditional statement is :
If you have a gerbil, then you are a pet owner (conditional statement is in the form of if p, then q)
The contrapositive is represented as (if not q, then not p)
So, the contrapositive sentence will be :
If you are not a pet owner, then you do not have a gebril.
This statement is false as if you are not a pet owner then you will not have any animal with you and not only gebril.
