NEW 2025 WGU C959 DISCRETE MATH
QUESTIONS AND ANSWERS
Proposition - ANSWER T/F statement
exclusive or - ANSWER AꚚB
inclusive or/disjunction - ANSWER AꓦB
conjunction - ANSWER AꓥB
What is the precedence for compound propositions? - ANSWER quantifier >
not > and > or > conditional/bi-conditional
Rows in truth table with N variables? - ANSWER 2^N
When are conditionals true/false? - ANSWER If p(T) then q(T) = T
If p(T) then q(F) = F
If p(F) then q(T) = T
If p(F) then q(F) = T
Biconditional - ANSWER iff, ↔
, tautology - ANSWER compound proposition that is always true regardless of
TV.
contradiction - ANSWER compound proposition that is always false,
regardless of TV
converse - ANSWER Proposition: if p then q
" ": if q then p
contrapositive - ANSWER proposition: if p then q"
": if not q then not p.
inverse - ANSWER proposition: if p then q"
": if not p then not q
logical equivalence - ANSWER Two compound propositions have the same TV
regardless of TVs of individual propositions. ≡ .
De Morgan's Laws - ANSWER ¬( p ꓦ q) ≡ (¬p ꓥ ¬q)
(¬p ꓥ ¬q) ≡¬( p ꓦ q)
Idempotent Laws - ANSWER p ꓦ p ≡ p
pꓥp≡p
Associative Laws - ANSWER (p ꓦ q) ꓦ r ≡ p ꓦ (q ꓦ r)
(p ꓥ q) ꓥ r ≡ p ꓥ (q ꓥ r)
QUESTIONS AND ANSWERS
Proposition - ANSWER T/F statement
exclusive or - ANSWER AꚚB
inclusive or/disjunction - ANSWER AꓦB
conjunction - ANSWER AꓥB
What is the precedence for compound propositions? - ANSWER quantifier >
not > and > or > conditional/bi-conditional
Rows in truth table with N variables? - ANSWER 2^N
When are conditionals true/false? - ANSWER If p(T) then q(T) = T
If p(T) then q(F) = F
If p(F) then q(T) = T
If p(F) then q(F) = T
Biconditional - ANSWER iff, ↔
, tautology - ANSWER compound proposition that is always true regardless of
TV.
contradiction - ANSWER compound proposition that is always false,
regardless of TV
converse - ANSWER Proposition: if p then q
" ": if q then p
contrapositive - ANSWER proposition: if p then q"
": if not q then not p.
inverse - ANSWER proposition: if p then q"
": if not p then not q
logical equivalence - ANSWER Two compound propositions have the same TV
regardless of TVs of individual propositions. ≡ .
De Morgan's Laws - ANSWER ¬( p ꓦ q) ≡ (¬p ꓥ ¬q)
(¬p ꓥ ¬q) ≡¬( p ꓦ q)
Idempotent Laws - ANSWER p ꓦ p ≡ p
pꓥp≡p
Associative Laws - ANSWER (p ꓦ q) ꓦ r ≡ p ꓦ (q ꓦ r)
(p ꓥ q) ꓥ r ≡ p ꓥ (q ꓥ r)
