4. Show, by the use of the truth table (truth matrix), that -(pV(q^(¬p → ¬r)) and ¬pA(q → r) are logically equivalent. I

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
#4
1. Given the following:
• g. "You can graduate."
• m: "You owe money to the college."
• r. "You have completed the requirements of
your major."
• b: "You have an overdue book."
Translate "You can graduate only if you have
completed the requirements of your major, you
do not owe money to the college, and you do not
have an overdue book." into a propositional logic.
(*
2 Show b
is
3. Show, by the use replacement rule, that the
(p^q) →r and p → (q → r)
are logically equivalent.
4. Show, by the use of the truth table (truth
matrix), that
-(pV(an(¬p-r) and -pA(q → r)
are logically equivalent. I
Transcribed Image Text:1. Given the following: • g. "You can graduate." • m: "You owe money to the college." • r. "You have completed the requirements of your major." • b: "You have an overdue book." Translate "You can graduate only if you have completed the requirements of your major, you do not owe money to the college, and you do not have an overdue book." into a propositional logic. (* 2 Show b is 3. Show, by the use replacement rule, that the (p^q) →r and p → (q → r) are logically equivalent. 4. Show, by the use of the truth table (truth matrix), that -(pV(an(¬p-r) and -pA(q → r) are logically equivalent. I
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