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Exam of 20 pages for the course Algebra, Combinatorics and Logic at Bedfordshire University (Exam paper)

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  • June 21, 2021
  • 20
  • 2020/2021
  • Exam (elaborations)
  • Questions & answers
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Algebra, Combinatorics and Logic -CIS086-2




Virginica Anghele
Assignment 2
1/13/21

, Virginica Anghele 1818847




University of Bedfordshire


Unit Code: CIS086-2

Unit Title Algebra, Combinatorics and Logic

Academic Year: 2020-21

Period of Study: SEM 1 Paper 1



Date of Exam: Wednesday 13th January 2021

Start Time: 09:00

Time Allowed: 2 hours

Unit Co-Ordinator: Dr Jon Hitchcock




Instructions for Candidates

Equipment allowed: Calculator

Materials allowed: None

Materials supplied: None

Additional Instructions: This exam is a closed book examination.

Answer ALL 12 questions.




Do not open this paper until instructed to do so by the Senior invigilator




January 13, 2021
2

, Virginica Anghele 1818847


Sets

1. (i) Draw a Venn diagram to show
A ∩( B ∩C) (3 marks)

A ∩ ( B ∩C ) =A ∩( B ∪C)

A B




C

(ii) Draw a Venn diagram to show

( B− A)∪(C− A) (4 marks)

A B




C



Logic

2. Write the statement ∀ x ∃ y ( y 2=x+ 9) in words and determine its truth on R × R . Justify
your answer.
(5 marks)

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