Question

which of the diagrams below represents the statement \if it is not an apple, then it is not fruit\?
figure a: inner - circle labeled not fruit, outer - circle labeled not apple
figure b: inner - circle labeled not apple, outer - circle labeled not fruit
a. figure a
b. figure b

Explanation:

Step1: Analyze the logical statement

The statement "If it is not an apple, then it is not fruit" means that the set of non - apples is a subset of the set of non - fruits.

Step2: Examine the diagrams

In Figure A, the circle of "not apple" is inside the circle of "not fruit", which means all non - apples are non - fruits. In Figure B, the circle of "not fruit" is inside the circle of "not apple", which is the opposite of what the statement says.

Answer:

A. Figure A