Are the following sentences propositions?
a) Kuala Lumpur is the capital of Malaysia.
b) Read this carefully.
c) 1 + 2 = 3
d) 𝑥𝑥 + 1 = 2
e) What time is it?
f) 𝑥𝑥 + 2 = 2𝑥𝑥 when 𝑥𝑥 =−2
g) Clean up your room.
h) 2 × 2 = 5

In logic, a **proposition** is a declarative statement that is either true or false but not both. Let's evaluate each sentence to determine if it is a proposition:

a) **Kuala Lumpur is the capital of Malaysia.**  
   - **Yes, this is a proposition.** It is a declarative statement that is either true or false. In this case, it is true.

b) **Read this carefully.**  
   - **No, this is not a proposition.** It is an imperative statement (a command), which does not have a truth value.

c) **1 + 2 = 3**  
   - **Yes, this is a proposition.** It is a declarative statement that is true.

d) **\( x + 1 = 2 \)**  
   - **No, this is not a proposition in its current form.** It contains a variable \( x \). The truth value depends on the value of \( x \), so it is not definitively true or false.

e) **What time is it?**  
   - **No, this is not a proposition.** It is an interrogative statement (a question), which does not have a truth value.

f) **\( x + 2 = 2x \) when \( x = -2 \)**  
   - **Yes, this is a proposition.** It is a declarative statement, and it is either true or false for the given value of \( x \). (In this case, it is true.)

g) **Clean up your room.**  
   - **No, this is not a proposition.** It is an imperative statement, which does not have a truth value.

h) **2 × 2 = 5**  
   - **Yes, this is a proposition.** It is a declarative statement that is false.

### Summary:
- Propositions: (a), (c), (f), (h)
- Not propositions: (b), (d), (e), (g)

Would you like more details or have any questions? 

Here are 5 questions that relate to this information:
1. Can a question ever be considered a proposition?
2. How do variables affect the status of a statement as a proposition?
3. What is the difference between a proposition and an imperative statement?
4. How would you classify a statement that contains a condition, like "If it rains, the ground will be wet"?
5. Can a false statement still be a proposition?

**Tip:** Always remember that for a sentence to be a proposition, it must have a clear truth value—either true or false.

Explore examples of propositions in logic and learn how to evaluate them. Understand the difference between declarative statements and other types of sentences. Suitable for students in Grades 10-12.

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