Question

Write the converse of the following statement and determine its truth value:

"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is11 1:8"

Answer 1

The converse of the given statement is not always true, making its truth value false.

Step-by-step explanation:

The converse of the statement is: If the ratio of lefties to righties is 11:8, then the class has 3 left-handed people and 24 right-handed people.

To determine the truth value of the converse, we need to see if it is always true. Since the original statement says that if a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 11:8, we can see that the converse is not always true.

There could be other instances where the ratio of lefties to righties is 11:8, but the class does not have exactly 3 left-handed people and 24 right-handed people.

Therefore, the truth value of the converse is false.