PLEASE HELP I WILL GIVE BRAINLIEST!!!!
1 answer:
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My work and the answer is shown up in the picture.
I used the substitution method to check my answers by using x and y into the two equations.
Answer: Alice has the prize
<u>Step-by-step explanation:</u>
Line 1:
Alice: Bob doesn’t have the prize (T) ... either Alice or Carol
Bob: I don’t have the prize (T) ... either Alice or Carol
Carol: I have the prize (F) ... either Alice or Bob
Alice is true for all of them!
Line 2:
Alice: Bob doesn’t have the prize (T) ... either Alice or Carol
Bob: I don’t have the prize (F) ... Bob
Carol: I have the prize (F) ... either Alice or Bob
<em>nobody satisfies all three statements.</em>
Line 3:
Alice: Bob doesn’t have the prize (T) ... either Alice or Carol
Bob: I don’t have the prize (F) ... Bob
Carol: I have the prize (T) ... Carol
<em>nobody satisfies all three statements.</em>
Line 4:
Alice: Bob doesn’t have the prize (F) ... Bob
Bob: I don’t have the prize (T) ... either Alice or Carol
Carol: I have the prize (T) ... Carol
<em>nobody satisfies all three statements.</em>
<em />
Line 5:
Alice: Bob doesn’t have the prize (F) ... Bob
Bob: I don’t have the prize (F) ... Bob
Carol: I have the prize (T) ... Carol
<em>nobody satisfies all three statements.</em>
<em />
Line 6:
Alice: Bob doesn’t have the prize (F) ... Bob
Bob: I don’t have the prize (T) ... either Alice or Carol
Carol: I have the prize (F) ... either Alice or Bob
<em>nobody satisfies all three statements.</em>