In a particular life insurance office, employees Simiyu, Juki, Waithera and Baraza have a diploma, with Simiyu and Baraza also having a degree. Simiyu, Macharia, Waithera,...

      

In a particular life insurance office, employees Simiyu, Juki, Waithera and Baraza have a diploma, with
Simiyu and Baraza also having a degree. Simiyu, Macharia, Waithera, Thuo, Mwanzia and Kungu are
associate members of the Chartered Insurance Institute (ACII) with Thuo and Mwanzia having a diploma.
Required:
Identifying set A as those employees with diploma, set C as those employees who are ACII and set D as
having a degree:
i) Specify the elements of sets A, C and D.
ii) Draw a Venn diagram representing sets A, C and D, together with their known elements.
iii) What special relationship exists between sets A and D?
iv) Specify the elements of the following sets and for each set, state in words what information is being
conveyed: A C; D C and D C .
v) What will be a suitable universal set for this situation?

  

Answers


Mutiso
The sets can be presented as below:
i) A {Simiyu , Juki, Waithera , Baraza, Thuo, Mwanzia}
C {Simiyu, Macharia, Waithera, Kungu ,Thuo, Mwanzia}
D {Simiyu , Baraza}
simiyu712221.png
iii) The special relationship between sets A and D is that Baraza has both degree and diploma though
not being a member of ACII.
iv) A C {Simiyu, Waithera, Thuo, Mwanzia} These are the ones who have both a diploma and
membership to ACII
D C {Simiyu, Waithera, Thuo, Mwanzia, Baraza, Macharia, Kungu}
This is a combination of those with degrees or membership to ACII or both.
D C {Simiyu} The one with a degree and membership to ACII
v) A suitable universal set will be Insurance staff.
Mutiso answered the question on December 7, 2018 at 11:23


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