Which rule is used in the following inference? $$\begin{array} { l }
( B \cdot C ) \vee D \
\sim \mathrm { D } \
B \cdot C
\end{array}$$

Name: Which rule is used in the following inference? \[\begin{array} { l } ( B \cdot C ) \vee D \\ \sim \mathrm { D } \\ B \cdot C \end{array}\]
Brand: Quizplus
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Question

Which rule is used in the following inference? $$\begin{array} { l } 
( B \cdot C ) \vee D \
\sim \mathrm { D } \
B \cdot C
\end{array}$$

Quizplus · Accepted Answer

The rule used is Disjunctive Syllogism (DS), which allows one to infer one disjunct if the other is false. Given $ ( B \cdot C ) \vee D $ and $ \sim D $, one can infer $ B \cdot C $.

Which Rule Is Used in the Following Inference (B⋅C)∨D∼DB⋅C\begin{array} { l } ( B \cdot C ) \vee D \\\sim \mathrm { D } \\B \cdot C\end{array}(B⋅C)∨D∼DB⋅C​

Which Rule Is Used in the Following Inference $\begin{array} { l } ( B \cdot C ) \vee D \\\sim \mathrm { D } \\B \cdot C\end{array}$