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

The statement
`(\lnot P \lor Q)\rightarrow \lnot Q` is neither a tautology nor a contradiction.

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.