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Mathematics 13 Online
OpenStudy (anonymous):

Here are some science facts: Adult insects have six legs. No other animals have six legs. With these facts in mind, determine the converse and the truth value of "If an animal is an adult insect, then it has six legs." A-If an animal has six legs, then it is an adult insect. (True) B-If an animal is not an adult insect, then it does not have six legs. (True) C-If an animal does not have six legs, then it is not an adult insect. (True) D-If an animal does not have six legs, then it is an adult insect. (True)

OpenStudy (anonymous):

A-If an animal has six legs, then it is an adult insect. (True) ? correct?

OpenStudy (perl):

i would say it is true

OpenStudy (perl):

you can approach this with venn diagrams. there are two statements given. the first statement says , adult insects have six legs. that is the following venn diagram

OpenStudy (perl):

|dw:1359603168887:dw|

OpenStudy (perl):

the second statement says, there are no other animals with 6 legs. so there is no space around adult insects

OpenStudy (perl):

so that means the set of adult insects is the same as the set of animals with 6 legs ,

OpenStudy (perl):

|dw:1359603265424:dw|

OpenStudy (perl):

so the converse is true :) , given the original statement

OpenStudy (perl):

does that make sense?

OpenStudy (anonymous):

im sort of confused now..

OpenStudy (anonymous):

A -If an animal has six legs, then it is an adult insect. (True) B- If an animal is not an adult insect, then it does not have six legs. (True) C- If an animal does not have six legs, then it is not an adult insect. (False) D- If an animal does not have six legs, then it is an adult insect. (False)

OpenStudy (perl):

Yovovel, you are wrong, they are all true. but the question is asking for the converse, specifically. that is A)

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