QQuestionMathematics
QuestionMathematics
The last line of a proof represents:
A. the given information.
B. the argument.
C. the conclusion.
D. the assumptions.
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Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Understand the Question
The problem asks to identify the last line of a proof. To solve this, we need to recall the standard structure of a mathematical proof.
Step 3:: Analyze the Proof Structure
A typical proof consists of several key components: - Given information or assumptions - Logical arguments and steps - Reasoning - Final statement
Step 4:: Identify the Proof Components
- Given information (assumptions): Usually the first line of a proof - Argument: The logical steps and reasoning
Final Answer
Step 4: Determine the Correct Answer The last line of a proof represents the conclusion. This is the final statement that demonstrates the truth of the original proposition or theorem. Step 5: Select the Correct Option Looking at the given options: A. Given information ❌ B. Argument ❌ C. Conclusion ✅ D. Assumptions ❌ The last line of a proof represents the conclusion. Explanation: In a mathematical proof, the conclusion is the final statement that follows from the given assumptions and logical reasoning, proving the original claim or theorem to be true.
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