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Mathematics 21 Online
OpenStudy (anonymous):

Nathan, Joshua, Michelle, and Denise were in a room where a porcelain vase was found broken. When an inquiry was conducted by the building caretaker, each made a statement. Nathan: Joshua broke the vase. Joshua: Nathan did not do it. Michelle: Joshua lied when he said Nathan did not do it. Denise: Joshua did it. The caretaker knew that only one statement is not true and concluded that Michelle broke the vase. Describe in complete sentences the method you use to show that the caretaker made an incorrect conclusion.

OpenStudy (anonymous):

@zepp this is my last question if you dont mind helping

OpenStudy (zepp):

Haha, that looks fun :D

OpenStudy (anonymous):

lol

OpenStudy (zepp):

I think it should be Nathan

OpenStudy (anonymous):

yea i beleive so to i just dont know how to explain it

OpenStudy (zepp):

Nathan: Joshua broke the vase. Joshua: Nathan did not do it. there, Nathan accuses Joshua, but Joshua didn't do a comeback? Joshua: Nathan did not do it. Michelle: Joshua lied when he said Nathan did not do it. Joshua and Michelle's saying are contradicting each other, therefore either Joshua or Michelle are lying.

OpenStudy (zepp):

What Joshua said was indeed to protect Nathan from being discovered, hence, Michelle's saying the truth, therefore Joshua lied, Nathan did it.

OpenStudy (anonymous):

thank you for helping me i appreciate it :)

OpenStudy (zepp):

You are welcome :))

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