Use p : Ramesh is rich , q : Pradeep is poor. Think of " poor " as " not rich " , and write each of these statements in symbolic form.
It is not true that Ramesh and Pradeep both are rich.

Answer

To express the statement "It is not true that Ramesh and Pradeep both are rich" in symbolic form using the given symbols \( p \) and \( q \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Statements**:
- Let \( p \) represent "Ramesh is rich".
- Let \( q \) represent "Pradeep is poor".
- Since "poor" is defined as "not rich", we can express this as \( q \) being equivalent to \( \neg p \) (not \( p \)).

2. **Translate the Statement**:
- The statement "both are rich" implies that both Ramesh and Pradeep are rich. In symbolic form, this can be written as \( p \land r \), where \( r \) represents "Pradeep is rich". Since \( q \) is "Pradeep is poor", we can express "Pradeep is rich" as \( \neg q \).

3. **Combine the Statements**:
- The phrase "both are rich" can be represented as \( p \land \neg q \).

4. **Negate the Statement**:
- The entire statement is "It is not true that Ramesh and Pradeep both are rich". This can be expressed in symbolic form as \( \neg (p \land \neg q) \).

### Final Symbolic Form:
Thus, the symbolic form of the statement "It is not true that Ramesh and Pradeep both are rich" is:
\[ \neg (p \land \neg q) \]