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This is a truth table for the logical expression \((p \rightarrow q) \lor (r \rightarrow p)\), where \(p\), \(q\), and \(r\) are propositions, and \(\rightarrow\) stands for logical implication, and \(\lor\) for logical disjunction (OR).

Let's break down the steps to fill in the table:

### Logical Operations:
1. **Implication (\(p \rightarrow q\)):**
   - True unless \(p\) is true and \(q\) is false.
   
2. **Implication (\(r \rightarrow p\)):**
   - True unless \(r\) is true and \(p\) is false.

3. **Disjunction (\(A \lor B\)):**
   - True if either \(A\) or \(B\) is true, or both.

### Let's evaluate each row:

#### Row 1: \(p = V\), \(q = V\), \(r = V\)
- \(p \rightarrow q = V\)
- \(r \rightarrow p = V\)
- \((p \rightarrow q) \lor (r \rightarrow p) = V\)

#### Row 2: \(p = V\), \(q = V\), \(r = F\)
- \(p \rightarrow q = V\)
- \(r \rightarrow p = V\)
- \((p \rightarrow q) \lor (r \rightarrow p) = V\)

#### Row 3: \(p = V\), \(q = F\), \(r = V\)
- \(p \rightarrow q = F\)
- \(r \rightarrow p =

Complete the truth table for the logical expression (p → q) ∨ (r → p).

Learn how to complete the truth table for the logical expression (p → q) ∨ (r → p). This problem covers key concepts in propositional logic, including implications and disjunction. Suitable for students in Grades 10-12.

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