Assume that two given statements p and q are both true and indicate whether or not you would expect each of the following statements to be true :
`p vv(~q)`

Answer

To solve the problem, we need to evaluate the statement \( p \lor \neg q \) given that both statements \( p \) and \( q \) are true.

### Step-by-Step Solution:

1. **Identify the truth values of \( p \) and \( q \)**:
- We are given that \( p \) is true (T) and \( q \) is true (T).

2. **Determine the negation of \( q \)**:
- The negation of \( q \) (denoted as \( \neg q \)) is the opposite of \( q \). Since \( q \) is true, \( \neg q \) will be false (F).

3. **Evaluate the expression \( p \lor \neg q \)**:
- We substitute the values we have:
- \( p \) is true (T)
- \( \neg q \) is false (F)
- The expression becomes \( T \lor F \).

4. **Apply the OR operation**:
- The OR operation (denoted as \( \lor \)) states that the result is true if at least one of the operands is true.
- Since \( T \lor F \) evaluates to true (T), we conclude that \( p \lor \neg q \) is true.

5. **Final Conclusion**:
- Therefore, the statement \( p \lor \neg q \) is true.

### Summary:
The statement \( p \lor \neg q \) is true when both \( p \) and \( q \) are true.

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