Solve the problem.Suppose that the following statements are true.(1) Axel eats a peach or banana.(2) If Axel eats a peach, then Betty reads today's New York Times.(3) Betty does not read today's New York Times.Prove: Axel eats a banana.
What will be an ideal response?
Let p, q, and r denote the following statements:
p = "Axel eats a peach."
q = "Axel eats a banana."
r = "Betty reads today's New York Times."
1. | p ? q | Hypothesis |
2. | p ? r | Hypothesis |
3. | ~r | Hypothesis |
4. | p ? ~(~r) | Double negation, 2 |
5. | ~p | Modus Tollens (4, 3) |
6. | q | Disjunctive syllogism (1,5) |
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A. -
B. -
C.
D.