Logical Equivalence and Identities Review

Which logical equivalence is represented by the statement: p ∧ (p ∨ q) ≡ p?

• Distributive Law
• De Morgan's Theorem
• Double Negation Law
• Absorption Law

Which of the following is logically equivalent to ~(p ∧ q)?

• ~(p ∨ q)
• p ∨ q
• ~p ∨ ~q
• p ∧ q

What is the logical equivalence of

p ∨ (p ∧ q)?

• ¬p ∨ q
• p → q
• p ∨ q
• p ∧ q

Which law states that (p ∧ q) ≡ (q ∧ p)?

• Identity Law of Conjunction
• Associative Law of Conjunction
• Distributive Law of Conjunction
• Commutative Law of Conjunction

Which logical equivalence is represented by: p ∧ (p ∨ q) ≡ p ∨ (p ∧ q)?

• Absorption Law
• Double Negation Law
• De Morgan's Theorem
• Distributive Law

What is the logical equivalence of ~(~p)?

• ~p
• p
• p and q
• p or q

Which law states that p ∨ (q ∨ r) ≡ (p ∨ q) ∨ r?

• Commutative Law of Disjunction
• Associative Law of Disjunction
• Distributive Law of Disjunction
• Identity Law of Disjunction

 Which logical equivalence is represented by: p ∧ (q ∨ r) ≡ (p ∧ q) ∨ (p ∧ r)?

• Commutative Law of Logic
• Distributive Law of Logic
• Associative Law of Logic
• De Morgan's Theorem

What is the logical equivalence of p → q?

• p ↔ q
• ¬q → ¬p
• p ∧ q
• ¬p ∨ q

Which law states that p ∨ (p ∧ q) ≡ p?

• Distributive Law
• De Morgan's Theorem
• Commutative Law
• Absorption Law