Logical Identities 2

Which of the following law of logic does p ∨ q ≡ q ∨ p and p ∧ q ≡ q ∧ p describe?

• Distributive Laws
• Identity Laws
• Associative Laws
• Commutative Laws

Which of the following laws of logic states that p ∧ (q ∨ r) ≡ (p ∧ q) ∨ (p ∧ r)?

• Identity Laws

• Commutative Laws

• Associative Laws

• Distributive Laws

What is the result of applying the law of double negation to the statement ¬(¬p)?

• p

• ¬p

• True

• False

Which of the following laws of logic is represented by p ∨ True ≡ True?

• Identity Laws

• Negation Laws

• Domination Laws

• Idempotent Laws

Which of the following laws of logic is represented by p ∧ False ≡ False?

• Identity Laws

• Domination Laws

• Idempotent Laws

• Negation Laws

Which of the following laws of logic states that p ∨ (q ∧ r) ≡ (p ∨ q) ∧ (p ∨ r)?

• Commutative Laws

• Associative Laws

• Distributive Laws

• Identity Laws

What is the result of applying the law of negation to the statement ¬(p ∧ q)?

• ¬p ∨ ¬q

• True

• p ∨ q

• False

Which of the following laws of logic is represented by p ∨ False ≡ p?

• Identity Laws

• Domination Laws

• Negation Laws

• Idempotent Laws

Which of the following laws of logic states that p ∧ True ≡ p?

• Identity Laws

• Domination Laws

• Negation Laws

• Idempotent Laws

What is the result of applying the law of distribution to the statement p ∧ (q ∧ r)?

• p ∨ (q ∧ r)

• (p ∧ r) ∧ q

• p ∧ q ∧ r

• (p ∧ q) ∧ r