Webconditional statement of p and q , is defined by following truth table. NOTE p—.q is false when p is true and q is false. Otherwise it is true. The different situations Where the conditional statements applied are listed below. (I) If p then q (2) p only if q (3) q whenever p (4) q is necessary for p (5) q follows from p (6) q when p WebAs (p ∧ q) is false [False `leftrightarrow` r] is true. Hence r is false. Option (a): says p ∨ r, Since r is false. Hence (p ∨ r) can either be true or false. Option (b): says (p ∧ r) …

If P is true and Q is false what is the truth value of P or Q?

Web4 jul. 2024 · If P is False, then by truth-table for conditional, P → Q is True. This fact is another side of the truth-functional definition of "or"; ¬ P ∨ Q is (in classical logic) … WebTruth value of the statement "if p then q " is false, when A p is true, q is true B p is true, q is false C p is false, q is true D p is false, q is false Hard Solution Verified by Toppr … methodist kids express san antonio

xPropositional Logic, Predicates, and Equivalency

Web3 jan. 2024 · If p is true, then 'p or not q' is true, by definition of 'or'. If p is false, (and it is about well-defined, finite things) then it has a counterexample. And, given the reasoning above, from that counterexample, I can compute a counterexample to q. WebEither Bill is from Boston, then Bill is from Massachusetts B → M. 7. ... Any sentence of the form P & - P is logically false. 13. What is the law of the excluded middle? All propositions are either true or false. ... (P→:Q) → (PvQ) : Logically Contingent P Q P→Q ... WebExplanation: q is false and [ (p ∧ q) ↔ r] is true As (p ∧ q) is false [False ↔ r] is true. Hence r is false Option (a): says p ∨ r, Since r is false Hence (p ∨ r) can either be true or false Option (b): says (p ∧ r) → (p ∨ r) (p ∧ r) is false Since, F → T is true and F → F is also true. Hence, it is a tautology Option (c): (p ∨ r) → (p ∧ r) how to add hosts to zoom meeting