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)
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)
