Let p,q,r and s represent simple statements. Assume that p is false, q is true, r is false, and s is true. Determine the truth value of each statement expressed below :
`r vv p`

Answer

To determine the truth value of the statement `r or p` (denoted as `r vv p`), we will follow these steps:

1. **Identify the truth values of the statements**:
- We are given that:
- \( p \) is false (F)
- \( q \) is true (T)
- \( r \) is false (F)
- \( s \) is true (T)

2. **Write down the expression**:
- The expression we need to evaluate is \( r \vee p \).

3. **Substitute the truth values into the expression**:
- Substitute \( r \) and \( p \) with their respective truth values:
- \( r \) is false (F)
- \( p \) is false (F)
- The expression now looks like: \( F \vee F \).

4. **Evaluate the logical OR operation**:
- The logical OR operation (denoted as \( \vee \)) states that the result is true if at least one of the operands is true. The truth table for OR is as follows:
- T OR T = T
- T OR F = T
- F OR T = T
- F OR F = F
- Since both \( r \) and \( p \) are false, we have:
- \( F \vee F = F \)

5. **Conclusion**:
- Therefore, the truth value of the statement \( r \vee p \) is false (F).

### Summary of the Solution:
- The truth value of the statement `r vv p` is **false**.