Exercise · ZW-NEGATION-009 · ★★★ Advanced
P and ¬P always have truth values that are...
Choose one option.
Show answer
- A. Opposite
Explanation
By definition, \(P\) and \(\neg P\) always have opposite truth values: if one is true, the other is false.
Review the concept: Negation
Given a proposition \(P\), its negation is the proposition \(\neg P\).
\[\neg P\]
More practice problems: negation
- ZW-NEGATION-001 The negation of a proposition...
- ZW-NEGATION-002 If P is true, then ¬P is...
- ZW-NEGATION-003 If P is false, then ¬P is...
- ZW-NEGATION-004 Which symbol represents negation?
- ZW-NEGATION-005 Double negation ¬¬P is logically equivalent to...
- ZW-NEGATION-006 If P is a proposition, what is ¬P?
- ZW-NEGATION-007 Double negation satisfies...
- ZW-NEGATION-008 If ¬P is true, then P is...