If the statements p and q are both true, then `prarrq` is `"…........."`

Answer

To solve the problem, we need to determine the truth value of the statement "P implies Q" (denoted as \( p \rightarrow q \)) given that both statements \( p \) and \( q \) are true.

### Step-by-Step Solution:

1. **Understanding the Implication**:
The implication \( p \rightarrow q \) can be interpreted as "if \( p \) is true, then \( q \) is also true".

2. **Truth Values of Statements**:
We are given that both \( p \) and \( q \) are true. In logical terms, this can be represented as:
- \( p = \text{True} \)
- \( q = \text{True} \)

3. **Evaluating the Implication**:
The truth table for implication \( p \rightarrow q \) is as follows:
- If \( p \) is true and \( q \) is true, then \( p \rightarrow q \) is true.
- If \( p \) is true and \( q \) is false, then \( p \rightarrow q \) is false.
- If \( p \) is false, then \( p \rightarrow q \) is true regardless of the truth value of \( q \).

Since both \( p \) and \( q \) are true in our case, we can conclude:
\[ p \rightarrow q = \text{True} \]

4. **Conclusion**:
Therefore, if both statements \( p \) and \( q \) are true, then \( p \rightarrow q \) is also true.

### Final Answer:
Thus, \( p \rightarrow q \) is **True**.

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