Which of the following diagrams indicates the best relation between Teacher,…

Concept: In a Venn diagram, two categories are drawn as separate, non-overlapping circles only when no member can belong to both categories at the same time (the categories are mutually exclusive). Two categories are drawn as overlapping circles when at least some members can belong to both at once.

Application: A person cannot be both a man and a woman, so the circles for Men and Women must never touch or overlap. A teacher, however, can be either a man or a woman, so the circle for Teacher must cross into both the Men circle and the Women circle.

Cross-check: this rules out the other layouts:

• Full containment (both circles fully inside one outer circle) would make every man and every woman a teacher, which is too strong.

• Keeping all three circles fully apart would mean no man or woman is ever a teacher, contradicting the fact that teachers can be of either gender.

• Letting every circle overlap every other circle would wrongly let the men and women circles overlap too.

So the diagram that correctly shows this relation is the one where the men circle and the women circle stay apart from each other while the teacher circle overlaps each of them individually.