WGU C959 DISCRETE MATH EXAM REVIEW
2026 COMPLETE QUESTIONS AND
VERIFIED ANSWERS GRADED A+
⩥ Symbol N. Answer: All natural numbers >= 0
⩥ Symbol Z. Answer: All integers
⩥ Symbol Q. Answer: All rational numbers
⩥ Symbol R. Answer: All real numbers
⩥ Universal set. Answer: Denoted by U
a set that contains all elements mentioned in a particular context
⩥ Proper subset. Answer: If A ⊆ B and there is an element of B that is
not an element of A (i.e., A ≠ B), then A is a proper subset of B, denoted
as A ⊂ B
⩥ Power set. Answer: Set of all subsets
For example, if A = { 1, 2, 3 }, then:
, P(A) = { ∅, { 1 }, { 2 }, { 3 }, { 1, 2 }, { 1, 3 }, { 2, 3 }, { 1, 2, 3 } }
⩥ Cardinality of a power set. Answer: 2^n (n = cardinality of set)
⩥ Symmetric difference. Answer: A ⊕ B = ( A - B ) ∪ ( B - A )
(either or)
⩥ Complement of a set. Answer: The set of all elements in the universal
set that are not in a given set.
⩥ Let A1, A2, ..., An be any finite sets. Give a concise description for
which elements from A1, A2, ..., An are in A1 ⊕ A2 ⊕ ... ⊕ An..
Answer: An element x is in A1 ⊕ A2 ⊕ ... ⊕ An if the number of sets
that contain x is an odd number.
⩥ Set identity. Answer: an equation involving sets that is true regardless
of the contents of the sets in the expression.
(uses the same laws of propositional logic)
⩥ Cartesian Product. Answer: a set of pairs (x, y) of elements from two
sets X and Y.
2026 COMPLETE QUESTIONS AND
VERIFIED ANSWERS GRADED A+
⩥ Symbol N. Answer: All natural numbers >= 0
⩥ Symbol Z. Answer: All integers
⩥ Symbol Q. Answer: All rational numbers
⩥ Symbol R. Answer: All real numbers
⩥ Universal set. Answer: Denoted by U
a set that contains all elements mentioned in a particular context
⩥ Proper subset. Answer: If A ⊆ B and there is an element of B that is
not an element of A (i.e., A ≠ B), then A is a proper subset of B, denoted
as A ⊂ B
⩥ Power set. Answer: Set of all subsets
For example, if A = { 1, 2, 3 }, then:
, P(A) = { ∅, { 1 }, { 2 }, { 3 }, { 1, 2 }, { 1, 3 }, { 2, 3 }, { 1, 2, 3 } }
⩥ Cardinality of a power set. Answer: 2^n (n = cardinality of set)
⩥ Symmetric difference. Answer: A ⊕ B = ( A - B ) ∪ ( B - A )
(either or)
⩥ Complement of a set. Answer: The set of all elements in the universal
set that are not in a given set.
⩥ Let A1, A2, ..., An be any finite sets. Give a concise description for
which elements from A1, A2, ..., An are in A1 ⊕ A2 ⊕ ... ⊕ An..
Answer: An element x is in A1 ⊕ A2 ⊕ ... ⊕ An if the number of sets
that contain x is an odd number.
⩥ Set identity. Answer: an equation involving sets that is true regardless
of the contents of the sets in the expression.
(uses the same laws of propositional logic)
⩥ Cartesian Product. Answer: a set of pairs (x, y) of elements from two
sets X and Y.
