Question

Which statement below is the verbal representation of the converse?

a) If it is raining, then the ground is wet.
b) If the ground is wet, then it is raining.
c) It is raining and the ground is wet.
d) The ground is wet or it is raining.

Answer 1

The converse of 'If it is raining, then the ground is wet' is 'If the ground is wet, then it is raining.' This shows the relationship between a conditional statement and its converse, with a counterexample highlighting a scenario where the original statement could be false.

Step-by-step explanation:

The verbal representation of the converse of the statement 'If it is raining, then the ground is wet' is 'If the ground is wet, then it is raining.' The original statement is a conditional statement, and its converse is created by reversing the hypothesis and the conclusion. Therefore, the correct answer is: 'If the ground is wet, then it is raining.'

Counterexamples are instances that show a conditional statement might not always be true. Consider the statement 'If you walk in the rain, your shirt will get wet.' A possible counterexample could be wearing a waterproof jacket that keeps your shirt dry even if you walk in the rain.