Exercise · ZW-IMPLICATION-006 · ★★☆ Intermediate
P⇒Q is false only when...
Choose one option.
Show answer
- C. P is true and Q false
Explanation
Only the row with P true and Q false makes the implication false; the other three give true.
Review the concept: Implication
The material implication \(P\Rightarrow Q\) is false exactly when \(P\) is true and \(Q\) is false.
\[P\Rightarrow Q\]
More practice problems: implication
- ZW-IMPLICATION-001 P ⇒ Q is false only when...
- ZW-IMPLICATION-002 If P and Q are true, P ⇒ Q is...
- ZW-IMPLICATION-003 If P is false and Q is true, P ⇒ Q is...
- ZW-IMPLICATION-004 Which symbol represents implication?
- ZW-IMPLICATION-005 In the sentence "If it rains, then the street gets wet", P represents...
- ZW-IMPLICATION-007 In P⇒Q, P is called...
- ZW-IMPLICATION-008 The material implication P⇒Q is equivalent to...
- ZW-IMPLICATION-009 Select the only case in which P⇒Q is false.