If p and q are both false, then `p rarr q ` is `"…............"`.

Answer

To solve the question "If p and q are both false, then p implies q is ...", we need to analyze the logical implication (p → q) when both p and q are false.

### Step-by-Step Solution:

1. **Understanding Implication**: The implication p → q can be understood in terms of truth values. The statement p → q is only false when p is true and q is false. In all other cases, it is true.

2. **Assigning Truth Values**: We are given that both p and q are false:
- p = False
- q = False

3. **Evaluating p → q**: Now we evaluate p → q:
- Since p is false and q is false, we look at the truth table for implication:
- If p is False and q is False, then p → q is True.

4. **Conclusion**: Therefore, if both p and q are false, then p implies q (p → q) is True.

### Final Answer:
If p and q are both false, then p → q is **True**.

---