Question 192807
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Your answers to a. and b. are correct.  The problem you have with c. is that you  don't have a statement variable definition for "a dog has a long tail"  Your choices are to assume that if a dog has a long tail, then it certainly has a tail and use q as your variable, or to define a new variable.


s: A dog has a long tail.


So your answer, depending on your choice above is:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ q \ \rightarrow\ p\ \small{\vee}\LARGE \ r]

or


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ s \ \rightarrow\ p\ \small{\vee}\LARGE \ r]


d. Same problem, so:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ r \ \rightarrow\ p\ \small{\wedge}\ \LARGE q]


or


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ r \ \rightarrow\ p\ \small{\wedge}\ \LARGE s]




John
*[tex \LARGE e^{i\pi} + 1 = 0]
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