Math Problem Statement
Consider the statement: If you are a bus driver, then you know how to drive.
What is the converse statement?
A
If you are a bus driver, then you have a license.
B
If you know how to drive, then you are a bus driver.
C
If you know how to drive, then you have a driver's lincense.
D
If you are a bus driver, then you drive safely.
Solution
The original statement is: "If you are a bus driver, then you know how to drive."
The converse of a statement is formed by reversing the hypothesis and the conclusion. So, the converse of this statement would be: "If you know how to drive, then you are a bus driver."
Therefore, the correct answer is:
B. If you know how to drive, then you are a bus driver.
Would you like more details or have any questions?
Here are 8 related questions:
- What is the contrapositive of the original statement?
- What is the inverse of the original statement?
- Is the converse of this statement true in general?
- Can you give an example where the converse of a statement is false?
- What is the logical form of a converse statement?
- How would the statement change if "bus driver" was replaced with another profession?
- What conditions need to be met for a converse statement to be true?
- How does knowing the converse help in logical reasoning?
Tip: In logic, understanding how to correctly form the converse of a statement is crucial for analyzing its truth value.
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Math Problem Analysis
Mathematical Concepts
Logic
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12
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