Question

Which answer represents the following conditional statement in shorthand? If it is not a fruit, then it is not an apple

Answer 1

Answer:

The shorthand that represent the contrapositive statement is  ~F → ~A

Step-by-step explanation:

The parameters given are;

If it is not a fruit, then it is not an apple

The above is a logic statement which can be rewritten as a conditional statement as follows;

If something is an apple then it is a fruit

Which gives

If p then q

Where:

A = Apple

F = Fruit

Therefore, when we write;

If something is not a fruit, then it is not an apple

We have

~F → ~A

Which is a contrapositive conditional statement

The shorthand that represent the contrapositive statement is therefore, ~F → ~A.