When we are given some statement for all the elements in a set, with finding a single counterexample we can prove that the statement is false.
Here we will find that it is false, and the correct option is C, some (with at least one is enough) beagles are afraid of people.
Let's see why.
The conjecture is:
"Beagles are highly social animals." and it comes from:
"If an animal is a beagle, then it is a dog. If an animal is a dog, then it is a highly social animal. "
Where the law of syllogism is applied to connect these propositions, so it is actually well constructed.
The problem is that not all dogs are highly social animals, most of them are, but not all of them.
So if you find a single beagle in all the world that, for some reason, is not social, then the statement that beagles are highly social animals would be false (if it said something like "most beagles are highly social animals" it would be true).
Then we can say that the conjecture is false because the initial statement is also false, the correct option is C, as a counterexample most likely exists.
"C. false; some beagles are afraid of people"
If you want to learn more, you can read:
https://brainly.com/question/17681179
