Discrete Mathematics Test 1 Virginia Tech Discrete Math Test 1 (Ch. 2-3) Question and answers verified to pass 2026

Discrete Mathematics Test 1 Virginia
Tech Discrete Math Test 1 (Ch. 2-3)
Question and answers verified to pass
2026
Negation of p - correct answer ✔~p (not p)



Conjunction of p and q - correct answer ✔p ∧ q (p and q)



Disjunction of p and q - correct answer ✔p v q (p or q)



Exclusive Disjunction (XOR) of p and q - correct answer ✔p ⊕ q (p or q, but not both, ((p v q) ∧ ~(p ∧ q
))



Conditional Statement (Basic Operators) - correct answer ✔p → q (p implies q)



Communicative Laws - correct answer ✔p ∧ q ≡ q ∧ p

p∨q≡q∨p



Associative Laws - correct answer ✔(p ∧ q) ∧ r ≡ p ∧ (q ∧ r)

(p ∨ q) ∨ r ≡ p ∨ (q ∨ r)



Distributive Laws - correct answer ✔p ∨ (q ∧ r) ≡ (p ∨ q) ∧ (p ∨ r)

p ∧ (q ∨ r) ≡ (p ∧ q) ∨ (p ∧ r)

, Identity Laws - correct answer ✔p ∧ T ≡ p

p∨F≡p



Negation (Inverse) Laws - correct answer ✔p ∨ ~p ≡ T

p ∧ ~p ≡ F



Double Negative Laws - correct answer ✔~(~p) ≡ p



Idempotent Laws - correct answer ✔p ∧ p ≡ p

p∨p≡p



Domination Laws - correct answer ✔p ∨ T ≡ T

p∧F≡F



DeMorgan's Laws - correct answer ✔~(p ∧ q) ≡ ~p ∨ ~q

~(p ∨ q) ≡ ~p ∧ ~q



Absorption Laws - correct answer ✔p ∨ (p ∧ q) ≡ p

p ∧ (p ∨ q) ≡ p



Negation of T and F - correct answer ✔~T ≡ F

~F ≡ T



Conditional Statement (Logical Equivalencies) - correct answer ✔(p → q) ≡ ∼p ∨ q

∼(p → q) ≡ p ∧ ∼q