Question: This problem has to do with set relationships. Answer the questions below:

a. “A” is all the jacks in a standard deck of 52 cards and “B” is all the hearts from 2 through 10. What is the set relationship between “A” and “B”?

b. “A” consists of members of the Racine Police Department. “B” consists of all females in Racine County ages 25 to 50. What is the relationship of set “A” and “B” that results in female Racine police that are ages 25 to 50.

c. “A” is the student population at UW-Parkside. “B” is the student population of the entire UW system. “C” consists of all the fans at a UW-Parkside soccer match against UW-Madison. State what would make up the union of “A”, “B”, and “C”. i.e., the outcomes defined by “A U B U C”.

d. Assume a sample space that is our galaxy, the Milky Way. It contains stars, planets, moons, asteroids, etc. Draw a Venn diagram that depicts the following sets and how they relate:

Set S: all stars

Set E: all bodies in our solar system