The contrapositive of a statement "If P then Q" is the statement "If not Q then not P". In this case, the original statement is "If it is an ant, then it is an insect". The contrapositive of this statement is "If it is not an insect, then it is not an ant".
- The diagram shows two overlapping circles, one labeled "Insect" and the other labeled "Ant".
- The area where the circles overlap represents the set of things that are both insects and ants.
- The area inside the "Insect" circle but outside the "Ant" circle represents the set of things that are insects but not ants.
- The area inside the "Ant" circle but outside the "Insect" circle represents the set of things that are ants but not insects.
- The area outside both circles represents the set of things that are neither insects nor ants.
The contrapositive statement is represented by the arrow pointing from the "not insect" region to the "not ant" region. This arrow indicates that if something is not an insect, then it cannot be an ant.