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 ? qHypothesis
2.p ? rHypothesis
3.~r Hypothesis
4.p ? ~(~r)Double negation, 2
5.~pModus Tollens (4, 3)
6.qDisjunctive syllogism (1,5)
Thus, Axel eats a banana.

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