The truth value of the conditional statement given as ((p -> q) ^ (q -> r)) -> (p -> r) is true
How to determine the true statement?
The conditional statement is given as:
((p -> q) ^ (q -> r)) -> (p -> r)
The interpretation of the above conditional statement is
If ((p implies q) and (q implies r)) then (p implies r)
This means that:
- If p implies q and q implies r
- Then p implies r
The first statement is true and it can be represented as:
p -> q -> r = p -> r
So, we have:
(p -> r) -> (p -> r)
Both statements are the same
Hence, the truth value of the conditional statement given as ((p -> q) ^ (q -> r)) -> (p -> r) is true
Read more about conditional statements at
https://brainly.com/question/11073037
#SPJ1
Complete question
What is the truth value of the following conditional statement?
((p -> q) ^ (q -> r)) -> (p -> r)
