Exercise · ZW-IMPLICATION-003 · ★☆☆ Basic
If P is false and Q is true, P ⇒ Q is...
Choose one option.
Show answer
- B. True
Explanation
With a false antecedent the implication is true regardless of the consequent, so with Q true it is also 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-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.