If (p ∧ ∼ r) ⇒ (q ∨ r) is false and q and r are both false, then p is

Question

If (p ∧ ∼ r) ⇒ (q ∨ r) is false and q and r are both false, then p is (A) True (B) False (C) May be true or false (D) Data sufficient

Tardigrade Admin · Accepted Answer

Given result means p ∧ ∼ r is true, q ∨ r is false.

Q. If $(p \land \sim r) \Rightarrow (q \lor r)$ is false and $q$ and $r$ are both false, then $p$ is