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Mathematics 20 Online
OpenStudy (anonymous):

Which conditional statement has a converse that is true? A. If I am biking, then I am moving. B. If I am in the desert, then I am thirsty. C. If I am running, then I am exercising. D. If I am awake, then I am studying.

OpenStudy (mathstudent55):

Write the converse of each choice. Then see if it is true.

OpenStudy (anonymous):

C then

OpenStudy (mathstudent55):

Here is choice A. as an example: A. If I am biking, then I am moving. Converse: If I am moving, then I am biking. Is that really true? You can be moving by simply walking, not biking. Now do this to choices B, C, and D

OpenStudy (anonymous):

i still think it's C then

OpenStudy (mathstudent55):

C. If I am running, then I am exercising. Converse: If I am exercising, then I am running. You could exercise by lifting weights. Exercising does not necessarily mean you must be running.

OpenStudy (mathstudent55):

The converses of both A and C are not necessarily true, so A and C are not it.

OpenStudy (mathstudent55):

Write the converse of B now. What is it and is it necessarily true?

OpenStudy (mathstudent55):

gtg if you answer quickly I'll help you finish this problem

OpenStudy (anonymous):

B and D sound the same to me

OpenStudy (anonymous):

i chowe B

OpenStudy (mathstudent55):

Please write the converses of both B and D. What do you get for them?

OpenStudy (mathstudent55):

B. If I am in the desert, then I am thirsty. Converse: If I am thirsty, then I am in the desert. D. If I am awake, then I am studying. Converse: If I am studying, then I am awake. You understand how those are the converses of B and D?

OpenStudy (anonymous):

D

OpenStudy (mathstudent55):

B. If I am in the desert, then I am thirsty. Converse: If I am thirsty, then I am in the desert. I could be thirsty for many other reasons. Perhaps I just ran a marathon. Perhaps I haven't had anything to drink for the last 10 hours. Just because I am thirsty, it does not necessarily mean I'm in a desert. B is not the answer. D. If I am awake, then I am studying. Converse: If I am studying, then I am awake. This is the correct answer. If you are studying, you must be awake. You can't study while you're asleep, so the only possibility is to be awake. D is it. D is the correct answer. You are correct.

OpenStudy (mathstudent55):

gtg bye

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