Write the inverse of the converse of p implies q.

Answer

To find the inverse of the converse of the statement "p implies q" (denoted as \( p \implies q \)), we can follow these steps:

### Step 1: Identify the Converse
The converse of a statement \( p \implies q \) is obtained by switching the hypothesis and conclusion. Therefore, the converse of \( p \implies q \) is:

\[ q \implies p \]

### Step 2: Identify the Inverse
The inverse of a statement \( p \implies q \) is formed by negating both the hypothesis and the conclusion. Thus, the inverse of the converse \( q \implies p \) is:

\[ \neg q \implies \neg p \]

### Final Answer
Therefore, the inverse of the converse of \( p \implies q \) is:

\[ \neg q \implies \neg p \]