Discrete Math Test 1 Study Guide Question and answers verified to pass 2026

Discrete Math Test 1 Study Guide
Question and answers verified to pass
2026
Commutative Laws - correct answer ✔p ^ q = q ^ p



p∨q=qvp



Associative Laws - correct answer ✔(p ^ q) ^ r = p ^ (q ^ r)



(p v q) v r = p v (q v r)



Distributive Laws - correct answer ✔p ^ (q v r) = (p ^ q) v (p ^ r)



p v (q ^ r) = (p v q) ^ (p v r)



Identity Law - correct answer ✔p ^ T = p



pvF=p



Negation Laws - correct answer ✔p v ~p = T



p ^ ~p = F



Domination Laws - correct answer ✔p v T = T

, p^F=F



Absorption Laws - correct answer ✔p v (p ^ q) = p



p ^ (p v q) = p



Converting Conditional statement - correct answer ✔p→q = ~p v q



~(p→q) = p ^ ~q



Contrapositive - correct answer ✔p→q = ~q→~p



Converse - correct answer ✔q→p



Inverse - correct answer ✔~p→~q



Biconditional - correct answer ✔p if, and only if, q or p↔q



p↔q truth values - correct answer ✔true if p and q have the same truth values, false if they have
opposite truth values



Modens Ponens - correct answer ✔p→q

p

∴q