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Discrete Math 1 WGU Questions and Answers Already Passed What is the definition of a set in discrete mathematics? A set is a collection of distinct objects, considered as an object in its own right. Is the empty set a subset of all sets? True What does the Cartesian product of two s...

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  • October 1, 2024
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  • 2024/2025
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Discrete Math 1 WGU Questions and
Answers Already Passed
What is the definition of a set in discrete mathematics?


✔✔A set is a collection of distinct objects, considered as an object in its own right.




Is the empty set a subset of all sets?


✔✔True




What does the Cartesian product of two sets represent?


✔✔The Cartesian product represents all ordered pairs where the first element comes from one

set and the second element from another set.




What is the principle of mathematical induction?


✔✔Mathematical induction is a method of proving statements for all natural numbers.




What is a bijection?


✔✔A bijection is a function that is both injective (one-to-one) and surjective (onto).




1

,Does the sum of an even and an odd number always result in an odd number?


✔✔True




What is a binary relation?


✔✔A binary relation is a set of ordered pairs of elements from two sets.




In logic, what is the conjunction of two statements?


✔✔The conjunction is true only when both statements are true.




Is an implication "if p then q" false only when p is true and q is false?


✔✔True




What is a graph in discrete mathematics?


✔✔A graph consists of vertices (nodes) and edges connecting pairs of vertices.




Is the union of two sets the set of elements belonging to either set or both?


✔✔True




2

,What does the term "disjoint sets" mean?


✔✔Disjoint sets are sets that have no elements in common.




What is a truth table used for?


✔✔A truth table is used to determine the truth values of logical expressions based on all possible

combinations of their variables.




What is a prime number?


✔✔A prime number is a natural number greater than 1 that has no positive divisors other than 1

and itself.




Does the intersection of two sets contain elements that are in both sets?


✔✔True




What is an equivalence relation?


✔✔An equivalence relation is a relation that is reflexive, symmetric, and transitive.




What is a tautology in logic?


3

, ✔✔A tautology is a statement that is always true, regardless of the truth values of its

components.




What is the complement of a set?


✔✔The complement of a set includes all elements that are not in the original set, relative to a

universal set.




What does "injective function" mean?


✔✔An injective function (or one-to-one function) means that no two different inputs map to the

same output.




Is the intersection of disjoint sets always the empty set?


✔✔True




What is the principle of the pigeonhole principle?


✔✔The pigeonhole principle states that if more items are put into fewer containers, at least one

container must hold more than one item.




What is a recursive function?

4

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