Question

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

Answer 1

Answer:

The statement $(\lnot P \lor Q)\rightarrow \lnot Q$ 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 $(\lnot P \lor Q)\rightarrow \lnot Q$ is a tautology, contradiction, or neither

A 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 $(\lnot P \lor Q)\rightarrow \lnot Q$ is compound by these simple statements:

• $\lnot P$
• $\lnot Q$
• $(\lnot P \lor Q)$

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.