Asked by Amanda Allen on May 03, 2024
Verified
Which rule is used in the following inference? (A⋅B) ∨C∼(A⋅B) C\begin{array} { l } ( A \cdot B ) \vee C \\\sim ( A \cdot B ) \\C\end{array}(A⋅B) ∨C∼(A⋅B) C
A) Simp
B) Conj
C) Add
D) DS
E) HS
DS
An acronym commonly used for Decision Support systems, which assist in making decisions, often through the analysis of data.
Add
To combine one number or quantity with another to obtain a total.
Conj
Short for conjunction, a part of speech that connects words, sentences, phrases, or clauses.
- Separate and understand the distinct inference patterns: Modus Ponens, Modus Tollens, Hypothetical Syllogism, and Disjunctive Syllogism.
Verified Answer
ZK
Zybrea KnightMay 06, 2024
Final Answer :
D
Explanation :
This inference uses the Disjunctive Syllogism (DS) rule, which allows one to infer that if a disjunction (A ∨ B) is true and one of its disjuncts (A) is false, then the other disjunct (B) must be true.
Learning Objectives
- Separate and understand the distinct inference patterns: Modus Ponens, Modus Tollens, Hypothetical Syllogism, and Disjunctive Syllogism.