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The question asks to write the sentence "It is cold outside and I am going out for dinner" in symbolic form, given the following symbols:

- \( p \): Today is Thursday
- \( q \): It is cold outside
- \( r \): I am feeling tired
- \( s \): I am not going out for dinner

To express "It is cold outside and I am going out for dinner," we use:

- \( q \) for "It is cold outside"
- \( \neg s \) for "I am going out for dinner" (since \( s \) represents "I am not going out for dinner")

So the correct symbolic form is \( q \land \neg s \), which corresponds to **option a)**.

Would you like a detailed explanation on how symbolic logic works? 

Here are 5 related questions to explore this concept further:

1. How do we represent complex sentences using symbolic logic?
2. What are the rules for combining symbols with logical connectives like \( \land \) and \( \lor \)?
3. What is the difference between conjunction (AND) and disjunction (OR) in symbolic logic?
4. How do we negate statements in symbolic logic?
5. How do conditional statements work in symbolic logic?

**Tip:** Always make sure to clearly define each symbol in logic problems before constructing symbolic sentences.

Write in symbolic form: 'It is cold outside and I am going out for dinner.'

Learn how to write the symbolic form of the sentence 'It is cold outside and I am going out for dinner' using logical operators and negation rules. This problem involves symbolic logic concepts suitable for college-level students.

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