Use the statements and truth table to determine which statements are equivalent. p: It is a university. q: It offers a degree in electrical engineering. pqpqpq ~p → ~qqp ~q→ ~p TT FL וד F T T T T TF F T F T T F FT T FL T F FL T FF T T T T T T If it offers a degree in electrical engineering, then it is a university. If it is a university, then it offers a degree in electrical engineering. If it offers a degree in electrical engineering, then it is a university. It is a university, and it offers a degree in electrical engineering. If it offers a degree in electrical engineering, then it is a university. If it is not a university, then it does not offer a degree in electrical engineering. If it is a university, then it does not offer a degree in electrical engineering. It is a university, or it offers a degree in electrical engineering.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
ChapterCSR: Contents Of Student Resources
Section: Chapter Questions
Problem 2.14EP
Question
Use the statements and truth table to determine which statements are equivalent.
p: It is a university.
q: It offers a degree in electrical engineering.
pqpqpq ~p → ~qqp ~q→ ~p
TT
FL
וד
F
T
T
T
T
TF F T
F
T
T
F
FT
T
FL
T
F
FL
T
FF T T
T
T
T
T
If it offers a degree in electrical engineering, then it is a university.
If it is a university, then it offers a degree in electrical engineering.
If it offers a degree in electrical engineering, then it is a university.
It is a university, and it offers a degree in electrical engineering.
If it offers a degree in electrical engineering, then it is a university.
If it is not a university, then it does not offer a degree in electrical engineering.
If it is a university, then it does not offer a degree in electrical engineering.
It is a university, or it offers a degree in electrical engineering.
Transcribed Image Text:Use the statements and truth table to determine which statements are equivalent. p: It is a university. q: It offers a degree in electrical engineering. pqpqpq ~p → ~qqp ~q→ ~p TT FL וד F T T T T TF F T F T T F FT T FL T F FL T FF T T T T T T If it offers a degree in electrical engineering, then it is a university. If it is a university, then it offers a degree in electrical engineering. If it offers a degree in electrical engineering, then it is a university. It is a university, and it offers a degree in electrical engineering. If it offers a degree in electrical engineering, then it is a university. If it is not a university, then it does not offer a degree in electrical engineering. If it is a university, then it does not offer a degree in electrical engineering. It is a university, or it offers a degree in electrical engineering.
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