Is the statement p ∧ ¬q true or false? (where p: 'I cook dinner' and q: 'I go out to eat')

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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.

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