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WGU D420 Discrete Math: Logic Questions and Answers 100% Pass
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WGU D420 Discrete Math: Logic Questions and Answers 100% Pass What is a tautology in logic? A tautology is a statement that is always true, regardless of the truth values of its components. What is the contrapositive of a conditional statement? The contrapositive of a conditional statemen...

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  • October 1, 2024
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WGU D420 Discrete Math: Logic
Questions and Answers 100% Pass

What is a tautology in logic?


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

components.




What is the contrapositive of a conditional statement?


✔✔The contrapositive of a conditional statement is formed by negating both the hypothesis and

conclusion, and then reversing them.




How does a conjunction work in logic?


✔✔A conjunction is true only if both component statements are true.




What is a biconditional statement?


✔✔A biconditional statement is true when both parts (the hypothesis and conclusion) have the

same truth value.




What is the difference between the converse and the inverse of a conditional statement?


1

,✔✔The converse swaps the hypothesis and conclusion, while the inverse negates both without

swapping.




What does De Morgan's Law state?


✔✔De Morgan's Law states that the negation of a conjunction is equivalent to the disjunction of

the negations, and vice versa.




What does a truth table represent?


✔✔A truth table represents all possible truth values of a logical expression based on the truth

values of its components.




How does a disjunction work in logic?


✔✔A disjunction is true if at least one of its component statements is true.




What is the universal quantifier in predicate logic?


✔✔The universal quantifier expresses that a statement applies to all elements within a particular

set.




What does the existential quantifier indicate in logic?

2

, ✔✔The existential quantifier asserts that there exists at least one element in a set for which a

statement is true.




What is logical equivalence?


✔✔Logical equivalence means that two statements always have the same truth value in every

possible situation.




What is the purpose of a proof in discrete mathematics?


✔✔A proof is used to demonstrate the validity or truth of a mathematical statement using logical

reasoning.




What does modus ponens allow you to conclude?


✔✔Modus ponens allows you to conclude the consequent if the antecedent is true in a

conditional statement.




What is an implication in logic?


✔✔An implication is a logical statement of the form "If P, then Q," where Q follows from P.




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