Question

on friday nights, a television network airs four sitcoms and three dramas on a fixed schedule. these seven shows are the networks \friday night line - up.\ the network conducted a study that determined how many people watch these shows among three groups: women, men, and overall. for each group, the seven shows were identified as either a drama or sitcom and ordered from most watched to least watched. based on this information, determine if each set is well - defined.
set
the set of the two least watched shows overall in the friday night line - up
the set containing only the least watched drama among men in the friday night line - up
the set containing only the show in the friday night line - up with the worst cast
the set containing the drama most watched by women and the drama least watched by men in the friday night line - up
is the set well - defined?
midterm review #1
student name: name
number of questions: 30
class name: contemporary math (math - 120 - 141 crn: 10291) - 141
instructor name: williams, darlene
aleks

Explanation:

Step1: Recall the definition of a well - defined set

A well - defined set is one where it is clear whether an object belongs to the set or not.

Step2: Analyze each set description

• For "The set of sitcoms in the Friday night line - up": It is clear which shows are sitcoms and which are part of the Friday night line - up, so it is well - defined.
• For "The set of the two least watched shows overall in the Friday night": We can determine the least watched shows based on viewership data, so it is well - defined.
• For "The set containing only the least watched drama among men in the Friday night line - up": Given viewership data segmented by gender, we can identify this show, so it is well - defined.
• For "The set containing only the show in the Friday night line - up with the worst cast": The term "worst cast" is subjective as what one person considers a bad cast may not be the same for another. So, it is not well - defined.
• For "The set containing the drama most watched by women and the drama least watched by men in the Friday night line - up": Using viewership data segmented by gender, we can identify these shows, so it is well - defined.

Answer:

Set	Is the set well - defined?
The set of the two least watched shows overall in the Friday night	Yes
The set containing only the least watched drama among men in the Friday night line - up	Yes
The set containing only the show in the Friday night line - up with the worst cast	No
The set containing the drama most watched by women and the drama least watched by men in the Friday night line - up	Yes