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 determine whether the statement \( p \lor q \) (read as "p or q") is true given that both statements \( p \) and \( q \) are true, we can follow these steps:

### Step 1: Understand the logical operator
The logical operator \( \lor \) represents the "or" operation in logic. The statement \( p \lor q \) is true if at least one of the statements \( p \) or \( q \) is true.

### Step 2: Identify the truth values
We are given that:
- \( p \) is true
- \( q \) is true

### Step 3: Apply the truth values to the logical operator
Since both \( p \) and \( q \) are true, we can evaluate \( p \lor q \):
- \( p \lor q \) = true \( \lor \) true

### Step 4: Determine the result
According to the rules of logical disjunction:
- If at least one operand is true, the result is true.
- Therefore, \( p \lor q \) is true.

### Conclusion
Since both \( p \) and \( q \) are true, the statement \( p \lor q \) is also true.

### Final Answer
The statement \( p \lor q \) is true.

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