Discrete Mathematics and Its Applications Chapters 1-3 study verified to pass 2026

Discrete Mathematics and Its
Applications Chapters 1-3 study
verified to pass 2026
roster method - correct answer ✔set = {a, b, c, d}



N - correct answer ✔Natural Numbers {0,1,2,3...}



Z - correct answer ✔Integers



Z+ - correct answer ✔Positive Integers (not including 0)



Q - correct answer ✔Rational Numbers {p/q | p and q domains Z}



R - correct answer ✔Real Numbers



R+ - correct answer ✔Positive Real Number (not including 0)



C - correct answer ✔Complex Numbers



intervals - correct answer ✔[a,b] [a,b) (a,b] (a,b)



closed interval - correct answer ✔[a,b]



open interval - correct answer ✔(a,b)

, singleton set - correct answer ✔has one element (sets within sets can be thought of as folders on
computer)



paradoxes - correct answer ✔logical inconsistencies



prove two sets to be equal - correct answer ✔show A ⊆ B and B ⊆ A



finite set - correct answer ✔S is a set. Exactly n distinct elements. n is Z+0.



carnality of S ( |S| ) - correct answer ✔number of distinct elements, n



every set is guaranteed: - correct answer ✔(1) ∅ ⊆ S

(2) S ⊆ S



subset - correct answer ✔A is a subset of B if and only if every element of A is an element of B (A ⊆ B)



superset - correct answer ✔A is a superset of B if and only if every element of B exists in A (A ⊇ B)



ordered n-tuple - correct answer ✔(a1, a2,...,an) is ordered collection with a1 as first element and so
on...



cartesian product (A x B) - correct answer ✔set of all ordered pairs (a,b)

A×B ={(a,b) | a ∈ A ∧ b ∈ B}