The converse of a given statement "if p, then q" is (where f and q are statements)

Options

A. If q, then p
B. If ~p, then q
C. If ~q , then p
D. If ~p then ~q

Answer

To find the converse of the statement "if p, then q," we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Original Statement**: The original statement is "if p, then q." This can be symbolically represented as \( p \implies q \).

2. **Identify the Components**: In the statement, \( p \) is the hypothesis (or antecedent) and \( q \) is the conclusion (or consequent).

3. **Formulate the Converse**: The converse of a conditional statement \( p \implies q \) is formed by switching the hypothesis and the conclusion. Therefore, the converse will be "if q, then p," which can be symbolically represented as \( q \implies p \).

4. **Conclusion**: Thus, the converse of the statement "if p, then q" is "if q, then p."

### Final Answer:
The converse of the statement "if p, then q" is "if q, then p."

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