Translate the following stetements between predicate logic and English. (Hint: Use DeMorgan's laws (either direction) to convert between equivalent expressions.) Let Ris.c) be the predicate "Student s is enrolled in class c" and translete esch of the stetements below either from logic to English or vice-versa. as vc R(s,c) OA students is enrolled in some cless OA students is enrolled in all classes OAI students are enrolled in some class OAI students are enrolled in all clesses -as vc Ris.c) OA student is not enrolled in some class OAII students are not enrolled in some class OA student is not enrolled in all classes OAII students are not enrolled in all clesses vs vc Ris.c) OAIll students are not enrolled in some class OAIll students are not enrolled in all classes OA student is not enrolled in all classes OA student is not enrolled in some class

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Translate the following statements between predicate logic and English. (Hint: Use DeMorgan's laws (either direction) to convert between equivalent expressions.)
Let R(s.c) be the predicate "Student s is enrolled in class c" and translate esch of the statements below either from logic to English or vice-versa.
as vc R(s,c)
OA students is enrolled in some class
OA students is enrolled in all classes
OAIl students are enrolled in some class
OAIl students are enrolled in all classes
-3s vc Ris.c)
OA student is not enrolled in some class
OAII students are not enrolled in some class
OA student is not enrolled in all classes
OAII students are not enrolled in all classes
-Vs vc R(s,c)
OAII students are not enrolled in some class
OAII students are not enrolled in all classes
OA student is not enrolled in all classes
OA student is not enrolled in some class
-Vs -3c -Ris.c)
OAII students are not enrolled in any class
OAII students are not enrolled in some class
OThere is a student not enrolled in some class
OThere is a student not enrolled in any class
Transcribed Image Text:Translate the following statements between predicate logic and English. (Hint: Use DeMorgan's laws (either direction) to convert between equivalent expressions.) Let R(s.c) be the predicate "Student s is enrolled in class c" and translate esch of the statements below either from logic to English or vice-versa. as vc R(s,c) OA students is enrolled in some class OA students is enrolled in all classes OAIl students are enrolled in some class OAIl students are enrolled in all classes -3s vc Ris.c) OA student is not enrolled in some class OAII students are not enrolled in some class OA student is not enrolled in all classes OAII students are not enrolled in all classes -Vs vc R(s,c) OAII students are not enrolled in some class OAII students are not enrolled in all classes OA student is not enrolled in all classes OA student is not enrolled in some class -Vs -3c -Ris.c) OAII students are not enrolled in any class OAII students are not enrolled in some class OThere is a student not enrolled in some class OThere is a student not enrolled in any class
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