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The converse of p implies q is ..........

The converse of `p implies q` is .......

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To find the converse of the statement "p implies q" (symbolically represented as \( p \implies q \)), we will follow these steps: ### Step-by-Step Solution: 1. **Understand the Implication Statement**: The statement \( p \implies q \) means "if p is true, then q is also true." 2. **Define the Converse**: The converse of an implication reverses the order of the hypothesis and conclusion. Therefore, the converse of \( p \implies q \) is formed by switching p and q. 3. **Write the Converse**: By switching p and q, we get the statement \( q \implies p \), which reads as "if q is true, then p is also true." 4. **Conclusion**: Therefore, the converse of \( p \implies q \) is \( q \implies p \). ### Final Answer: The converse of \( p \implies q \) is \( q \implies p \). ---
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