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The following conditional statement is given: "If the vehicle is a school bus, then the vehicle must be yellow."

Part A:
Explain how to change a statement into the converse and write the converse of the given conditional statement. (5 points)

Part B:
Is the converse of the conditional statement true or false? Explain your answer. If the converse is false, give a counterexample. (5 points)

Sagot :

GinnyAnsweridn

Final answer:

Explains how to change a statement into the converse and discusses the truth value of the converse of a conditional statement.


Explanation:

The converse of a conditional statement is obtained by swapping the positions of the hypothesis (if clause) and the conclusion (then clause). For example, the converse of 'If the vehicle is a school bus, then the vehicle must be yellow' would be 'If the vehicle is yellow, then the vehicle is a school bus.'

The converse of a conditional statement can be true or false. In this case, the converse 'If the vehicle is yellow, then the vehicle is a school bus' is likely false because not all yellow vehicles are school buses. A counterexample could be a yellow taxi.


Learn more about Conditional Statements here:

https://brainly.com/question/41672953


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