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
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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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