Let p `:` 'He is rich' and q `:` 'He is happy' be the given statements. Write each of the following statements in the symbolic form, using p and q.
To be poor is to be unhappy.

Answer

To convert the statement "To be poor is to be unhappy" into symbolic form using the given statements \( p \) and \( q \), we will follow these steps:

### Step 1: Understand the Statements
- The statement \( p \) represents "He is rich."
- The statement \( q \) represents "He is happy."
- The phrase "to be poor" implies the negation of being rich, which can be represented as \( \neg p \).
- The phrase "to be unhappy" implies the negation of being happy, which can be represented as \( \neg q \).

### Step 2: Analyze the Given Statement
The statement "To be poor is to be unhappy" can be interpreted as:
- Being poor (not being rich) is a necessary condition for being unhappy (not being happy).

### Step 3: Write the Symbolic Form
From the analysis, we can express the statement as:
- If he is poor, then he is unhappy.
- In symbolic terms, this can be written as:
\[ \neg p \implies \neg q \]
This means that if he is not rich (\( \neg p \)), then he is not happy (\( \neg q \)).

### Final Symbolic Representation
Thus, the symbolic form of the statement "To be poor is to be unhappy" is:
\[ \neg p \implies \neg q \]

---