37. Steve would like to determine the relative salaries of three coworkers using two facts. First, he knows that if Fred is not the highest paid of the three, then Janice is. Sec- ond, he knows that if Janice is not the lowest paid, then Maggie is paid the most. Is it possible to determine the relative salaries of Fred, Maggie, and Janice from what Steve knows? If so, who is paid the most and who the least? Explain your reasoning.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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puzzles that can be solved by translating
statements into logical expressions and reasoning from these
expressions using truth tables.

37. Steve would like to determine the relative salaries of three
coworkers using two facts. First, he knows that if Fred
is not the highest paid of the three, then Janice is. Sec-
ond, he knows that if Janice is not the lowest paid, then
Maggie is paid the most. Is it possible to determine the
relative salaries of Fred, Maggie, and Janice from what
Steve knows? If so, who is paid the most and who the
least? Explain your reasoning.
Transcribed Image Text:37. Steve would like to determine the relative salaries of three coworkers using two facts. First, he knows that if Fred is not the highest paid of the three, then Janice is. Sec- ond, he knows that if Janice is not the lowest paid, then Maggie is paid the most. Is it possible to determine the relative salaries of Fred, Maggie, and Janice from what Steve knows? If so, who is paid the most and who the least? Explain your reasoning.
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