Is the statement p ∧ ¬q true or false? (where p: 'I cook dinner' and q: 'I go out to eat')
Understand the Problem
The question discusses logical expressions and their truth values, specifically focusing on the meanings of statements involving logical conjunctions and disjunctions.
Answer
True if 'I cook dinner' and 'do not go out to eat'.
The statement p ∧ ¬q is true if 'I cook dinner' is true and 'I do not go out to eat' is true.
Answer for screen readers
The statement p ∧ ¬q is true if 'I cook dinner' is true and 'I do not go out to eat' is true.
More Information
The logical expression p ∧ ¬q requires both conditions to be satisfied: cooking dinner and not going out to eat.
Tips
Ensure both components of the conjunction are evaluated correctly to avoid errors.