(d) There are two people in the class who have not helped each other. (e) There is a hard working student in the class who is helped by every smart student in class. (f) There are some companies that hire only hard working students.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Only D, E, and F

3. Express the following English sentences using propositional functions, quantifiers and logical
connections.
(a) Someone in the class is helped by everyone in the class.
(b) There is a hard working student in the class who has not been helped by any student in
class.
(c) For everyone in the class, someone who is smart has helped him/her.
SO
(d) There are two people in the class who have not helped each other.
(e) There is a hard working student in the class who is helped by every smart student in class.
(f) There are some companies that hire only hard working students.
Transcribed Image Text:3. Express the following English sentences using propositional functions, quantifiers and logical connections. (a) Someone in the class is helped by everyone in the class. (b) There is a hard working student in the class who has not been helped by any student in class. (c) For everyone in the class, someone who is smart has helped him/her. SO (d) There are two people in the class who have not helped each other. (e) There is a hard working student in the class who is helped by every smart student in class. (f) There are some companies that hire only hard working students.
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