A small town consisting of 2,732 households requires pet licenses for dogs and cats. Let the following subsets be defined:Group 1: the set of households that have purchased dog licenses. Group 2: the set of households that have purchased cat licenses. The town records show that 1,821 households have purchased dog licenses, while 983 households have purchased cat licenses. Among the households that have purchases dog licenses, 1,167 have not purchased cat licenses. Directions:Construct a Venn diagram to represent your assigned problem. Include capital letter labels for allsets and indicate what each label represents.Use the set notation symbols (∪,',∩) and set labels from part A to express eachof the following sets: elements in both Group 1 and Group 2elements in Group 2 but not Group 1elements in Group 1 or Group 2elements in neither Group 1 nor Group 2 Determine the cardinality ofeach of the following sets, including an explanation of the process for how you determined the cardinality:elements in both Group 1 and Group 2elements in Group 2 but not Group 1elements in Group 1 or Group 2elements in neither Group 1 nor Group 2

Let letter A denote group 1 and B denote group 2.Given that:Total number of households N =…

Answered: A small town consisting of 2,732…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A small town consisting of 2,732 households requires pet licenses for dogs and cats.

Let the following subsets be defined:

Group 1: the set of households that have purchased dog licenses.

Group 2: the set of households that have purchased cat licenses.

The town records show that 1,821 households have purchased dog licenses, while 983 households have purchased cat licenses. Among the households that have purchases dog licenses, 1,167 have not purchased cat licenses.

Directions:

Construct a Venn diagram to represent your assigned problem. Include capital letter labels for allsets and indicate what each label represents.
Use the set notation symbols (∪,',∩) and set labels from part A to express eachof the following sets: