Question

draw a venn diagram with two circles showing the given relationship between the following pair of sets. provide an explanation of the diagram
mathematicians and people with pilot’s licenses

draw a venn diagram with two circles showing the given relationship between two sets. let m = mathematicians and p = people with pilot’s licenses. choose the correct answer below
options with venn diagrams: a (m inside p), b (m and p overlapping), c (p inside m), d (m and p disjoint)
provide an explanation of the diagram. choose the correct answer below
a. the diagram correctly shows the two circles overlap because some people with pilot’s licenses are mathematicians
b. the diagram correctly shows two circles are disjoint because there are no people with pilot’s licenses who are mathematicians
c. the diagram correctly shows one circle is contained in the other because all people with pilot’s licenses are mathematicians
d. the diagram correctly shows one circle is contained in the other because all mathematicians have pilot’s licenses

Explanation:

A Venn diagram with two overlapping circles (as in option B's diagram description in the first part of the problem - assuming the "B" in the first Venn - diagram selection refers to the overlapping one) is appropriate. A mathematician is a person with a particular academic or professional focus (in mathematics), and a person with a pilot's license is someone with a particular skill/qualification (to fly aircraft). There is no inherent rule that prevents a mathematician from getting a pilot's license or vice - versa. So, there can be an overlap where some people are both mathematicians and have a pilot's license.

Answer:

A. The diagram correctly shows the two circles overlap because some people with pilot's licenses are mathematicians.