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: Denise broke the vase.
Joshua: Michelle did it.
Michelle: I did not do it.
Denise: Joshua lied when he said Michelle did it.

The caretaker knew that only two statements were true and concluded that Denise broke the vase.

Describe in complete sentences the method you use to show that the caretaker made an incorrect conclusion.

Question

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: Denise broke the vase.
Joshua: Michelle did it.
Michelle: I did not do it. 
Denise: Joshua lied when he said Michelle did it.
 
The caretaker knew that only two statements were true and concluded that Denise broke the vase. 
 
Describe in complete sentences the method you use to show that the caretaker made an incorrect conclusion.

unklerhaukus · Answer

so two are true and two are false

unklerhaukus · Answer

try; if the frist statement is true , the the second is false ,  the third is true , and the last is also true, so 3T:1F,
this dosent work, try something eles

anonymous · Answer

im still confused. I never did this before this is my first time..

unklerhaukus · Answer

can you see what i did to try

unklerhaukus · Answer

notice how if one statement is assumed to be true or false ,
 the other will also become true or false because of logic

anonymous · Answer

Statement 1 is true.
Statement 2 is false.
Statement 3 is true.
Statement 4 is  true. ??

unklerhaukus · Answer

notice only one of the first two statements, can be true at once , this makes the other false

unklerhaukus · Answer

lets try state, 2 is True what do we get

unklerhaukus · Answer

1 F
2 T
3 
4

unklerhaukus · Answer

can you work out the rest of the table?

anonymous · Answer

F
T

unklerhaukus · Answer

if 2 Michelle did it. is true 
is 
4  Joshua lied when he said Michelle did it. T/F

anonymous · Answer

4. F

unklerhaukus · Answer

1 F
2 T
3 F
4 F

so we get one true and three false,
this dident work either, 

try 3=T

anonymous · Answer

if 3 is true we are going to get the same results we just did that one for number 2.  but how do i describe in complete sentences the method you use to show that the caretaker made an incorrect conclusion. how do we solve for this ?

unklerhaukus · Answer

guess and check ,?

unklerhaukus · Answer

to find the solution assume a solution and determine the complete state

unklerhaukus · Answer

check if the conditions are right

anonymous · Answer

they are.

unklerhaukus · Answer

did you find the solution where two statements are lies and two are truths

anonymous · Answer

No.. Wait... Joshua broke the vase

unklerhaukus · Answer

a dammager of vases and a liar ,  bad Joshua

anonymous · Answer

Ok so now for the quetion like how would i describe in complete sentences the method you use to show that the caretaker made an incorrect conclusion?

unklerhaukus · Answer

oh i didn't read that bit.

anonymous · Answer

Nope the only information I have is this 
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: Denise broke the vase.
Joshua: Michelle did it.
Michelle: I did not do it. 
Denise: Joshua lied when he said Michelle did it.
 
The caretaker knew that only two statements were true and concluded that Denise broke the vase. 
 
Describe in complete sentences the method you use to show that the caretaker made an incorrect conclusion.

unklerhaukus · Answer

oh so the caretaker concluded Denise broke the vase ,

unklerhaukus · Answer

Denise≠Joshua

anonymous · Answer

Yes, but the question says how do we prove the caretaker made a incorrect conclusion

unklerhaukus · Answer

im wondering what the caretaker was thinking ,,,

1 T
2 F
3 T
4 ~f,
maybe he got confuse and believed josh was innocent

anonymous · Answer

idk lol im confused now

unklerhaukus · Answer

how did the caretaker get messed up?

anonymous · Answer

im not sure ..

unklerhaukus · Answer

we know josh was guilty because we solved the system

unklerhaukus · Answer

comparing the caretakers solution to the solve system we could see contradiction

anonymous · Answer

i think i get it now im typing my answer when im done i will send it to you to see if you agree

unklerhaukus · Answer

yeah sure it is hard to put these thing in to a paragraph, i would like to read what you get

anonymous · Answer

yeah i know lol

anonymous · Answer

Well the caretaker concluded that Denise broke the vase but in the next part it says use a method to prove that the caretaker made an incorrect conclusion. I am given that 2 statemnts are true and 2 statements are false..  Ok so  if statement 1 is true then statement 2 is false. If statement 2 is false then statement 3 is false. If statemnt3 is false then statement 4 is true. So by solving that I know Denise did not brake the vase becaue we have 3 true an 1 false. So  now we assume statement 2 is true so if statement 2 is true then statement 1 is false. If statement 2 is true then statement 3 is false. If statement 3 is false then statement 4 is false. So we have 3 false and 1 true. So therefore Joshua broke the glass because I solved the system and he is guilty.

anonymous · Answer

@UnkleRhaukus  thats my answer lol ^^ do you agree ?

unklerhaukus · Answer

it is accurate , but ,

anonymous · Answer

but what ?

unklerhaukus · Answer

maybe a short hand notation,

in the forth sentence you could eliminate the word statement -

 If 2 is false then 3 is false. If 3 is false then  4 is true.

anonymous · Answer

why that sentence ?

unklerhaukus · Answer

its good the the word statement at the start of the paragrapgh

anonymous · Answer

ok. can you help me with another question?