Answered

2. What is the converse of the statement "If Bob does his homework, then George gets candy"?
A. If George gets candy, then Bob does his homework.
B. Bob does his homework if and only if George gets candy.
C. If George does not get candy, then Bob does not do his homework.
D. If Bob does not do his homework, then George does not get candy.



Answer :

The converse of a conditional statement switches the hypothesis and conclusion. In the given statement "If Bob does his homework, then George gets candy," the hypothesis is "Bob does his homework" and the conclusion is "George gets candy." The options provided are: A. If George gets candy, then Bob does his homework. B. Bob does his homework if and only if George gets candy. C. If George does not get candy, then Bob does not do his homework. D. If Bob does not do his homework, then George does not get candy. To determine the converse: - The correct converse is when you switch the hypothesis and conclusion. - So, the correct converse of the given statement would be: "If George gets candy, then Bob does his homework." Therefore, the correct answer is: A. If George gets candy, then Bob does his homework.