WGU C959 (2025/2026) DISCRETE MATH I (UNIT
1,2,4,5,6) WITH ALL COMPLETE QUESTIONS AND
CORRECT DETAILED ANSWERS (EXPERT
Page | 1
VERIFIED) FOR GUARANTEED PASS TOP RATED
A+.
WGU C959
Ace your WGU C959 Discrete Mathematics I exam 2025/2026 with
confidence. This resource tests logic and proofs, set theory, functions
and relations, algorithms, number theory, and introductory
combinatorics and graph theory. Ideal for students in advanced studies
in programming, data structures, and algorithms.
Order of operations ...... ANSWER ...... 1. ¬ (not)
2. ∧ (and)
3. ∨ (or)
Converse of p → q ...... ANSWER ...... q → p (switch)
Contrapositive of p → q ...... ANSWER ...... ¬q → ¬p
(negative switch)
Inverse of p → q ...... ANSWER ...... ¬p → ¬q
(negative)
, Biconditonal statement ...... ANSWER ...... p↔q
Page | 2
The proposition p ↔ q is true when p and q have the same
truth value and is false when p and q have different truth
values. (if and only if)
Tautology ...... ANSWER ...... the proposition is
always true, regardless of the truth value of the individual
propositions that occur in it.
Contradiction ...... ANSWER ...... the proposition is
always false, regardless of the truth value of the individual
propositions that occur in it.
Predicate ...... ANSWER ...... A logical statement
whose truth value is a function of one or more variables -
P(x)
Free variable vs. Bound variable ...... ANSWER ...... x
in the predicate P(x) is free to take any value in the domain
, x in the statement ∀x P(x) is bound to a quantifier
Page | 3 De Morgan's law for quantified statements ...... ANSWER
...... ¬∀x F(x) ≡ ∃x ¬F(x)
and
¬∃x P(x) ≡ ∀x ¬P(x)
Nested quantifiers ...... ANSWER ...... ∀x∀y M(x,y) -
For every pair of x and y, M(x,y) is true
∃x∃y M(x,y) - There exists at least one pair of x and y such
that M(x,y) is true
∃x∀y M(x,y) - There exists at least one x that pairs with ALL
y, such that M(x,y) is true
∀x∃y M(x,y) - For each x, there is at least one y, such that
M(x,y) is true
De Morgan's law with nested quantifiers ...... ANSWER
...... All quantifiers flip
1,2,4,5,6) WITH ALL COMPLETE QUESTIONS AND
CORRECT DETAILED ANSWERS (EXPERT
Page | 1
VERIFIED) FOR GUARANTEED PASS TOP RATED
A+.
WGU C959
Ace your WGU C959 Discrete Mathematics I exam 2025/2026 with
confidence. This resource tests logic and proofs, set theory, functions
and relations, algorithms, number theory, and introductory
combinatorics and graph theory. Ideal for students in advanced studies
in programming, data structures, and algorithms.
Order of operations ...... ANSWER ...... 1. ¬ (not)
2. ∧ (and)
3. ∨ (or)
Converse of p → q ...... ANSWER ...... q → p (switch)
Contrapositive of p → q ...... ANSWER ...... ¬q → ¬p
(negative switch)
Inverse of p → q ...... ANSWER ...... ¬p → ¬q
(negative)
, Biconditonal statement ...... ANSWER ...... p↔q
Page | 2
The proposition p ↔ q is true when p and q have the same
truth value and is false when p and q have different truth
values. (if and only if)
Tautology ...... ANSWER ...... the proposition is
always true, regardless of the truth value of the individual
propositions that occur in it.
Contradiction ...... ANSWER ...... the proposition is
always false, regardless of the truth value of the individual
propositions that occur in it.
Predicate ...... ANSWER ...... A logical statement
whose truth value is a function of one or more variables -
P(x)
Free variable vs. Bound variable ...... ANSWER ...... x
in the predicate P(x) is free to take any value in the domain
, x in the statement ∀x P(x) is bound to a quantifier
Page | 3 De Morgan's law for quantified statements ...... ANSWER
...... ¬∀x F(x) ≡ ∃x ¬F(x)
and
¬∃x P(x) ≡ ∀x ¬P(x)
Nested quantifiers ...... ANSWER ...... ∀x∀y M(x,y) -
For every pair of x and y, M(x,y) is true
∃x∃y M(x,y) - There exists at least one pair of x and y such
that M(x,y) is true
∃x∀y M(x,y) - There exists at least one x that pairs with ALL
y, such that M(x,y) is true
∀x∃y M(x,y) - For each x, there is at least one y, such that
M(x,y) is true
De Morgan's law with nested quantifiers ...... ANSWER
...... All quantifiers flip
