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Which of the following is not a statemen...

Which of the following is not a statement?

A

Every set is a finite set

B

8 is less then 6

C

Whare are you going?

D

The sun of interior angles of a triangle is 180 degrees

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The correct Answer is:
To determine which of the given options is not a statement, we first need to understand what a statement is in mathematical reasoning. ### Step-by-Step Solution: 1. **Definition of a Statement**: A statement is a declarative sentence that is either true or false, but not both. 2. **Analyzing the Options**: - **Option 1**: "Every set is a finite set." - This is a statement because it can be evaluated as true or false. In fact, it is false since there are infinite sets (e.g., the set of natural numbers). - **Option 2**: "Every set is not a finite set." - This is also a statement because it can be evaluated as true or false. This statement is false as well, as some sets are finite. - **Option 3**: "Where are you going?" - This is not a statement because it does not have a truth value; it is a question and cannot be classified as true or false. - **Option 4**: "The sum of interior angles of a triangle is 180 degrees." - This is a statement because it is a factual statement that can be evaluated as true. 3. **Conclusion**: Among the options provided, the only one that is not a statement is **Option 3: "Where are you going?"** ### Final Answer: **Option 3 is not a statement.** ---
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