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:

  1. What is the contrapositive of the original statement?
  2. What is the inverse of the original statement?
  3. Is the converse of this statement true in general?
  4. Can you give an example where the converse of a statement is false?
  5. What is the logical form of a converse statement?
  6. How would the statement change if "bus driver" was replaced with another profession?
  7. What conditions need to be met for a converse statement to be true?
  8. 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.