3. Give the contrapositive and converse of the following statements in English. (Hint: it might be helpful if you first write these sentences in logical form) (a) If Socrates is a man and all men are mortal, then Socrates is mortal. (b) If it does not rain or it is not foggy, then the sailing race will be held and the lifesaving demon- stration will go on. (c) For me, playing hockey is sufficient for being sore the next day.
3. Give the contrapositive and converse of the following statements in English. (Hint: it might be helpful if you first write these sentences in logical form) (a) If Socrates is a man and all men are mortal, then Socrates is mortal. (b) If it does not rain or it is not foggy, then the sailing race will be held and the lifesaving demon- stration will go on. (c) For me, playing hockey is sufficient for being sore the next day.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. Give the contrapositive and converse of the following statements in English.
(Hint: it might be helpful if you first write these sentences in logical form)
(a) If Socrates is a man and all men are mortal, then Socrates is mortal.
(b) If it does not rain or it is not foggy, then the sailing race will be held and the lifesaving demon-
stration will go on.
(c) For me, playing hockey is sufficient for being sore the next day.
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