Write the given statement in symbolic form using the letter in parentheses to represent the corresponding component.
I will not drive to Jaipur (~d) but I shall go by train (t) or by plane (p).

Answer

To convert the given statement into symbolic form, we will break it down step by step using the provided letters for each component.

### Step-by-Step Solution:

1. **Identify the Components**:
- The statement consists of three parts:
- "I will not drive to Jaipur" which is represented as \( \sim d \) (not driving).
- "I shall go by train" which is represented as \( t \).
- "or by plane" which is represented as \( p \).

2. **Symbolic Representation of "I will not drive to Jaipur"**:
- This part of the statement is negated, so we write it as \( \sim d \).

3. **Symbolic Representation of "but I shall go by train or by plane"**:
- The word "but" can be interpreted as a conjunction (similar to "and"), but in this context, it leads into an alternative. Therefore, we can express this part as \( t \lor p \) (where \( \lor \) represents "or").

4. **Combine the Components**:
- The complete symbolic representation of the statement combines the negation of driving and the alternatives of traveling by train or plane. Thus, we can write it as:
\[ \sim d \land (t \lor p) \]
- Here, \( \land \) represents "and".

### Final Symbolic Form:
\[ \sim d \land (t \lor p) \]