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Which of the following is a statement?...

Which of the following is a statement?

A

2 is not a prime number.

B

Mind your own business.

C

Be punctual.

D

Do not tell lies.

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given options is a statement, we need to understand what constitutes a statement in mathematical reasoning. A statement is a declarative sentence that can be classified as either true or false, but not both. ### Step-by-Step Solution: 1. **Understand the Definition of a Statement**: - A statement is a declarative sentence that is either true or false, but not both. 2. **Analyze Each Option**: - **Option A**: "2 is not a prime number." - This statement can be evaluated. The number 2 is actually a prime number (the only even prime number). Therefore, this statement is false. Since it can be classified as false, it qualifies as a statement. - **Option B**: "Mind your own business." - This is an imperative sentence and does not convey a truth value. It cannot be classified as true or false, so it is not a statement. - **Option C**: "Be punctual." - Similar to option B, this is also an imperative sentence. It does not have a truth value and cannot be classified as true or false, so it is not a statement. - **Option D**: "Don't tell lies." - This is another imperative sentence. Like the previous two options, it does not have a truth value, so it is not a statement. 3. **Conclusion**: - After analyzing all the options, the only option that qualifies as a statement is **Option A: "2 is not a prime number."** ### Final Answer: The statement is **Option A: "2 is not a prime number."**
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