1. The compound propositions p and q are called logically equivalent if is a tautology. a. p + q b. p →q A. -(p ° q) В. -р 2. p - q is logically equivalent to: a. -p ¬q b. p °¬q 3. p q is logically equivalent to: a. ¬q → ¬p b. q → p A. ¬p 'q В. -р A. -p → ¬q В. -р + q 4 a(n e a) is logically eguivalent to:
1. The compound propositions p and q are called logically equivalent if is a tautology. a. p + q b. p →q A. -(p ° q) В. -р 2. p - q is logically equivalent to: a. -p ¬q b. p °¬q 3. p q is logically equivalent to: a. ¬q → ¬p b. q → p A. ¬p 'q В. -р A. -p → ¬q В. -р + q 4 a(n e a) is logically eguivalent to:
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
![Test 5. Choose the best letter of your answer and prove it using truth table. Write your answer on the
space before the number.
1. The compound propositions p and q are called logically equivalent if
is a tautology.
a. p + q
b. рq
А. - (р "q)
B. ¬p ^ ¬q
2. p → q is logically equivalent to:
а.
А. -р
b. p °¬q
3. p 'q is logically equivalent to:
В. —р ^
a. ¬q → ¬p
b. q → p
A. ¬p → ¬q
В. -р q
4. ¬(p → q) is logically equivalent to:
A. ¬p → ¬q
B. ¬q → ¬p
a. q +p
b. p + ¬q
5. p "q is logically equivalent to:
(b- e d)-
b. (р — -д)
А. (-р > -9)
В. (-р — q)
а.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e3780b4-d0eb-4ea8-a95f-968199c275d9%2F61e213a4-37ae-44ba-8fb8-c6a016b367de%2Fof7s9tq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Test 5. Choose the best letter of your answer and prove it using truth table. Write your answer on the
space before the number.
1. The compound propositions p and q are called logically equivalent if
is a tautology.
a. p + q
b. рq
А. - (р "q)
B. ¬p ^ ¬q
2. p → q is logically equivalent to:
а.
А. -р
b. p °¬q
3. p 'q is logically equivalent to:
В. —р ^
a. ¬q → ¬p
b. q → p
A. ¬p → ¬q
В. -р q
4. ¬(p → q) is logically equivalent to:
A. ¬p → ¬q
B. ¬q → ¬p
a. q +p
b. p + ¬q
5. p "q is logically equivalent to:
(b- e d)-
b. (р — -д)
А. (-р > -9)
В. (-р — q)
а.
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