Exercise · ZW-CONJUNCTION-006 · ★★☆ Intermediate
What is the negation of «\(P\) and \(Q\)»?
Choose one option.
Show answer
- B. \(\lnot(P\land Q)\)
Explanation
By De Morgan, \(\lnot(P\land Q)\equiv\lnot P\lor\lnot Q\). Negating each part and keeping the conjunction, \(\lnot P\land\lnot Q\), is a typical mistake.
Review the concept: Conjunction
Given propositions \(P\) and \(Q\), their conjunction is the proposition \(P\land Q\).
\[P\land Q\]
More practice problems: conjunction
- ZW-CONJUNCTION-001 P∧ Q is true when...
- ZW-CONJUNCTION-002 If P is true and Q is false, P∧ Q is...
- ZW-CONJUNCTION-003 Which symbol represents conjunction?
- ZW-CONJUNCTION-004 The conjunction of P with itself is equivalent to...
- ZW-CONJUNCTION-005 Which expression is a conjunction?
- ZW-CONJUNCTION-007 If P is false, P∧ Q is...
- ZW-CONJUNCTION-008 Conjunction resembles the operation...
- ZW-CONJUNCTION-009 Which assignment makes P∧ Q true?