Question
__ 19. What is the contrapositive of the statement "If it rains, then I will use an umbrella"? A. If I use an umbrella, then it rains C. If I don't use an umbrella, then it rains B. If I don't use an umbrella, the it doesn't rain D. If I don't use an umbrella, then it doesn't rain __ 20. What is the converse statement of the statement: "If I study, then I will pass"? A. If I don't pass then I didn't study C. If I don't study.then I won't pass B. If I pass, then I studied D. If I study, then I will pass
Solution
3.8
(180 Votes)
Zoey
Veteran ยท Tutor for 9 years
Answer
__19.__ The contrapositive of a statement "If P, then Q" is "If not Q, then not P." In this case, P is "it rains" and Q is "I will use an umbrella." So, the contrapositive is "If I don't use an umbrella, then it doesn't rain." The correct answer is **D**.__20.__ The converse of a statement "If P, then Q" is "If Q, then P." In this case, P is "I study" and Q is "I will pass." So, the converse is "If I pass, then I studied." The correct answer is **B**.