MATH SOLVE

4 months ago

Q:
# Determine whether the following statement is a tautology, contradiction, or neither (~PVQ) ~Q Tautology Contradiction β’ Neither Click Save and submit to save and submit.

Accepted Solution

A:

Answer:The statement [tex](\lnot P \lor Q)\rightarrow \lnot Q[/tex] is neither a tautology nor a contradiction.Step-by-step explanation:A tautology is a statement that is always true.A contradiction is a statement that is always false.We are going to use a truth table to determine whether the statement [tex](\lnot P \lor Q)\rightarrow \lnot Q[/tex] is a tautology, contradiction, or neitherA truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.The statement [tex](\lnot P \lor Q)\rightarrow \lnot Q[/tex] is compound by these simple statements:[tex]\lnot P[/tex][tex]\lnot Q[/tex][tex](\lnot P \lor Q)[/tex]and we are going to use these simple statements to build the truth table.The last column contains true and false values. Therefore, the statement is neither a tautology nor a contradiction.