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**Question 19:**
"Write the conditional statement 'If I have the time, then I will bake a cake' in its equivalent disjunctive form."

To rewrite a conditional statement \( p \rightarrow q \) (If \( p \), then \( q \)) in disjunctive form, it becomes \( \neg p \vee q \) (Not \( p \) or \( q \)).

Given:
- \( p \): "I have the time"
- \( q \): "I will bake a cake"

The disjunctive form would be:
- "I don’t have the time or I will bake a cake"

The closest match is:
**(a) I don’t have the time or I won’t bake a cake**.

This seems to match the intended structure but with a slight variation in the second part. However, it's the best fit in this case.

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**Question 20:**
"Write the negation of the conditional statement 'If I have the time, then I will bake a cake' in its conjunctive form."

To negate the conditional \( p \rightarrow q \), we use \( p \wedge \neg q \). This translates as:
- \( p \): "I have the time"
- \( \neg q \): "I will not bake a cake"

Thus, the negation in conjunctive form would be:
- "I have the time and I will not bake a cake"

The closest match is likely option **d**, though it isn't shown in full in the image.

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### Related questions:
1. How do you convert any conditional statement into its disjunctive form?
2. What are other examples of conditional statements and their negations?
3. How do you translate logical operations into everyday language?
4. Can a conditional statement be true if the hypothesis is false?
5. How do truth tables help verify conditional and disjunctive forms?

**Tip**: When working with logical statements, converting between different forms (like conditional to disjunctive) helps in understanding the relationships between propositions more clearly!

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

Understand how to convert a conditional statement like 'If I have the time, then I will bake a cake' into its disjunctive form and learn how to negate conditional statements using logical conjunction. Suitable for students in Grades 10-12.

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