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.
If he is rich , then he is unhappy.

Answer

To convert the statement "If he is rich, then he is unhappy" into symbolic form using the given statements \( p \) and \( q \), we will follow these steps:

1. **Identify the Statements**:
- Let \( p \) represent "He is rich".
- Let \( q \) represent "He is happy".

2. **Analyze the Given Statement**:
- The statement is "If he is rich, then he is unhappy".
- The phrase "he is unhappy" means that he is not happy, which can be represented as the negation of \( q \), denoted as \( \neg q \).

3. **Construct the Symbolic Form**:
- The structure of the statement is an implication, which can be represented in symbolic form as \( p \rightarrow \neg q \).
- Here, \( \rightarrow \) denotes "if...then".

4. **Final Symbolic Expression**:
- Therefore, the symbolic form of the statement "If he is rich, then he is unhappy" is:
\[ p \rightarrow \neg q \]