Exercise · ZW-IMPLICATION-001 · ★☆☆ Basic
P ⇒ Q is false only when...
Choose one option.
Show answer
- D. P is true and Q is false
Explanation
The implication is false only in the row where the antecedent is true and the consequent false. In every other row the truth table gives 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-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-006 P⇒Q is false only when...
- 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.