Answer to Question #341007 in Discrete Mathematics for Akash kumar yadav

Question

Find all combinations of truth values for p, q and r for which the statement ¬p ↔ (q ∧ ¬(p → r)) is true.

Answer 1

Let's compose a truth table:

Then the statement ¬p ↔ (q ∧ ¬(p → r)) is true if

$(p=True,q=r=False);(p=r=True,q=False);(p=q=r=True)$