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The question shown in the image asks for the **negation** of the conditional statement **"If I have the time, then I will bake a cake"** in its conjunctive form.

The original conditional statement is:  
\[ \text{If I have the time, then I will bake a cake.} \]  
Symbolically, this can be written as:
\[ p \rightarrow q \]
where:
- \( p \): "I have the time"
- \( q \): "I will bake a cake"

### Negation of a Conditional
The negation of \( p \rightarrow q \) is equivalent to:
\[ \text{Not} (p \rightarrow q) \equiv p \land \neg q \]
This means:
- \( p \): "I have the time"  
- \( \neg q \): "I won’t bake a cake"  
Thus, the negation is:  
**"I have the time and I won’t bake a cake."**

### Now let’s match this with the options provided:
- **Option A**: "I have the time and I won’t bake a cake."  
This is the correct answer, as it directly matches \( p \land \neg q \).

Would you like any further details or clarifications?

Here are 5 related questions:
1. What is the general form of the negation of a conditional statement?
2. How do you express a conditional statement in symbolic logic?
3. What is the difference between conjunction and disjunction in logic?
4. How do you negate a disjunction statement in logic?
5. What is the contrapositive of a conditional statement?

**Tip:** To negate a conditional statement, focus on asserting that the first part happens, but the second part does not.

Write the negation of the conditional statement 'If I have the time, then I will bake a cake' in its conjunctive form.

Learn how to negate a conditional statement in its conjunctive form. This example explains how to express the negation of the statement 'If I have the time, then I will bake a cake' using symbolic logic, including key formulas and steps. Suitable for college-level students.

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