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The given proposition is:

\[
(p \land q) \lor (\neg q \land r)
\]

We will create a truth table for this logical expression. The table will consider all possible truth values for \(p\), \(q\), and \(r\), and then evaluate the expression step by step.

1. First, we will evaluate \(p \land q\).
2. Then, we will evaluate \(\neg q\).
3. After that, we'll evaluate \(\neg q \land r\).
4. Finally, we combine \(p \land q\) and \(\neg q \land r\) with the disjunction (\(\lor\)) to get the final result.

Let me construct the truth table now.Here is the truth table for the proposition \((p \land q) \lor (\neg q \land r)\):

\[
\begin{array}{|c|c|c|c|c|c|c|}
\hline
p & q & r & p \land q & \neg q & \neg q \land r & (p \land q) \lor (\neg q \land r) \\
\hline
\text{True}  & \text{True}  & \text{True}  & \text{True}  & \text{False} & \text{False} & \text{True} \\
\text{True}  & \text{True}  & \text{False} & \text{True}  & \text{False} & \text{False} & \text{True} \\
\text{True}  & \text{False} & \text{True}  & \text{False} & \text{True}  & \text{True}  & \text{True} \\
\text{True}  & \text{False} & \text{False} & \text{False} & \text{True}  & \text{False} & \text{False} \\
\text{False} & \text{True}  & \text{True}  & \text{False} & \text{False} & \text{False} & \text{False} \\
\text{False} & \text{True}  & \text{False} & \text{False} & \text{False} & \text{False} & \text{False} \\
\text{False} & \text{False} & \text{True}  & \text{False} & \text{True}  & \text{True}  & \text{True} \\
\text{False} & \text{False} & \text{False} & \text{False} & \text{True}  & \text{False} & \text{False} \\
\hline
\end{array}
\]

Would you like further clarification or details on this?

Here are five related questions for further exploration:
1. How does the truth table change for the expression \(p \lor q\)?
2. What is the truth table for \((p \land \neg q) \lor (r \land \neg p)\)?
3. Can you explain how negation (\(\neg\)) impacts truth values in general?
4. What is the truth table for an implication \(p \to q\)?
5. How do you interpret logical equivalence between two propositions?

**Tip**: Understanding how each logical operator works individually can make constructing truth tables easier and faster.

Tuliskan tabel kebenaran untuk setiap proposisi berikut: (p ∧ q) ∨ (¬q ∧ r)

Learn how to create the truth table for the logical proposition (p ∧ q) ∨ (¬q ∧ r). This detailed explanation covers key concepts in propositional logic, including conjunction, disjunction, and negation. Suitable for students in Grades 10-12.

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