Consider the statement below. Then, write the converse of the statement and determine its truth value. Provide justification to your answer to receive credit.

If an animal growls, then it must be a dog.

Question

Consider the statement below. Then, write the converse of the statement and determine its truth value. Provide justification to your answer to receive credit.

If an animal growls, then it must be a dog.

anonymous · Answer

Given a Statement: If a, then b.

Converse of the Statement: If b, then a.

beginnercountrysinger · Answer

@Easyaspi314 i need the justification part and the truth value

anonymous · Answer

What is the answer to your original question?

beginnercountrysinger · Answer

if it is a dog, then it must growl. thats what i got

anonymous · Answer

Yes, but perhaps write,

"If an animal is a dog, then it must growl."

anonymous · Answer

The truth value of a statement is whether the statement is true or false. Is the converse true or false?

beginnercountrysinger · Answer

the converse would be correct

anonymous · Answer

So the truth value of the converse is true.

(Note, that the original statement has a truth value of false).

beginnercountrysinger · Answer

so what would the justification be?

anonymous · Answer

Because dog's growl. And if it is a dog, then it growls. As simple as that.

anonymous · Answer

You're welcome.

beginnercountrysinger · Answer

Thank you soo much you helped a lot!