Now, because the conditional and converse are true, then we have a biconditional relation between P and Q.
From that, we conclude that the truth values for the two above statements is true for both
What are the truth values of the contrapositive and inverse statements?
A conditional statement is of the form:
If P, then Q.
The inverse statement is:
if Q, then P.
We assume that these two are true.
An example of this is:
P = a number is even.
Q = a number is a multiple of 2.
Then the two above statements are:
- conditional: If a number is even, then the number is a multiple of 2.
- converse: if a number is a multiple of 2, then it is even.
Now the inverse statement is:
if not P, then not Q.
The contrapositive is:
If not Q, then not P.
Now, because the conditional and converse are true, then we have a byconditional relation between P and Q.
From that, we conclude that the truth values for the two above statements is true for both, but let's check with our propositions:
Inverse: If a number is not even, then it is not a multiple of 2. (this is true)
Contrapositive: If a number is not multiple of 2, then it is not even (also true).
If you want to learn more about conditional statements:
https://brainly.com/question/11073037
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