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Archangel Macsika

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

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Let's compose a truth table:



Then  the statement ¬p ↔ (q ∧ ¬(p → r)) is true if\left( {p = True,\,\,q = r = False} \right);\,\,\,\left( {p = r = True,q = False} \right);\,\,\left( {p = q = r = True} \right)

Answer: \left( {p = True,\,\,q = r = False} \right);\,\,\,\left( {p = r = True,q = False} \right);\,\,\left( {p = q = r = True} \right)

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