Lte p be " Shruti can type," and let q be "Shruti takes shorthand." Write the following statements in Symbolic form :
Shruti can type but she does not take shorthand.

Answer

To convert the statement "Shruti can type but she does not take shorthand" into symbolic form using the given definitions, we follow these steps:

1. **Identify the Statements**:
- Let \( p \) represent "Shruti can type."
- Let \( q \) represent "Shruti takes shorthand."

2. **Understand the Logical Connectives**:
- The word "but" can be interpreted as "and" in logical terms. Therefore, it connects two statements where one is true and the other is false.
- The phrase "does not take shorthand" indicates the negation of \( q \), which is \( \neg q \).

3. **Construct the Symbolic Form**:
- The statement "Shruti can type" corresponds to \( p \).
- The statement "but she does not take shorthand" corresponds to \( \neg q \).
- Combining these, we can write the symbolic form as:
\[ p \land \neg q \]

Thus, the symbolic representation of the statement "Shruti can type but she does not take shorthand" is \( p \land \neg q \).