Logical Equivalences

Which option correctly identifies the logical equivalent of the statement "P ∧ (Q ∨ R)"?
(P ∧ Q) ∨ (P ∧ R)
P ∨ (Q ∧ R)
¬(P ∧ Q)
(P ∨ Q) ∧ (P ∨ R)
What is the logical equivalent of the statement "¬(P ∨ Q)"?
¬P ∨ ¬Q
¬P ∧ ¬Q
P ∨ Q
P ∧ Q
Which option correctly identifies the logical equivalent of the statement "P → Q"?
¬P → ¬Q
Q → P
P ↔ Q
¬Q → ¬P
What is the logical equivalent of the statement "¬(P ↔ Q)"?
(P → Q) ∧ (Q → P)
¬P ↔ ¬Q
P ↔ Q
¬P ∧ ¬Q
Which option correctly identifies the logical equivalent of the statement "P ∨ (Q ∧ R)"?
(P ∨ Q) ∧ (P ∨ R)
(P ∧ Q) ∨ (P ∧ R)
¬(P ∧ Q)
(P ∨ Q) ∨ (P ∨ R)
What is the logical equivalent of the statement "¬(P ∧ Q)"?
¬P ∨ ¬Q
¬P ∧ ¬Q
P ∨ Q
P ∧ Q
Which option correctly identifies the logical equivalent of the statement "P ↔ Q"?
¬P ↔ ¬Q
Q ↔ P
P → Q
¬Q ↔ ¬P
What is the logical equivalent of the statement "¬(P → Q)"?
P → Q
¬P → ¬Q
¬Q → ¬P
Q → P
Which option correctly identifies the logical equivalent of the statement "P ∨ (Q → R)"?
(P ∨ Q) → R
P ∨ (R → Q)
¬P ∨ (Q → R)
P ∧ (Q → R)
What is the logical equivalent of the statement "¬(P ↔ Q)"?
(P → Q) ∧ (Q → P)
¬P ↔ ¬Q
P ↔ Q
¬P ∧ ¬Q
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