Use a truth table to determine whether the two statements are equivalent. ~p→~q, q→p
Use a truth table to determine whether the two statements are equivalent. ~p→~q, q→p
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
Use a truth table to determine whether the two statements are equivalent.
~p→~q, q→p
Construct a truth table for
~p→~q.
p q ~p→~q
T T ▼
T F ▼
F T ▼
F F ▼
Construct a truth table for
q→p.
p q q→p
T T ▼
T F ▼
F T ▼
F F ▼
Are the statements equivalent?
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