Question

The following conditional statement is given If the fruit is an apple, then the fruit is red.

Explain how to change a statement into the converse and write the converse of the given conditional statement

Answer 1

To create the converse of a conditional statement, reverse the antecedent and the consequent. The converse of 'If the fruit is an apple, then the fruit is red' is 'If the fruit is red, then the fruit is an apple.'

Step-by-step explanation:

To convert a conditional statement into its converse, you simply reverse the antecedent (the part after 'if') and the consequent (the part after 'then'). The converse of a conditional does not necessarily have the same truth value as the original conditional.

The converse of the conditional statement 'If the fruit is an apple, then the fruit is red' is 'If the fruit is red, then the fruit is an apple'. It's important to note that this converse statement does not mean that all red fruits are apples, just as the original statement does not claim that all apples are red; these are logical relationships, not universal truths.