Exam (elaborations) COS1501 Assignment 2 (COMPLETE ANSWERS) 2024 (653506) - 14 June 2024 • Course • Theoretical Computer Science I (COS1501) • Institution • University Of South Africa (Unisa) ...
Exam (elaborations) COS1501 Assignment 2 (COMPLETE ANSWERS) 2024 (653506) - 14 June 2024 • Course • Theoretical Computer Science I (COS1501) • Institution • University Of South Africa (Unisa) ...
Exam (elaborations) COS1501 Assignment 2 (COMPLETE ANSWERS) 2024 (653506) - 14 June 2024 • Course • Theoretical Computer Science I (COS1501) • Institution • University Of South Africa (Unisa) ...
All for this textbook (27)
Written for
University of South Africa
COS1501
All documents for this subject (24)
Seller
Follow
ivymwendwa47820
Reviews received
Content preview
[TYPE THE COMPANY NAME]
COS1501
Assignment
2
• Theoretical Computer
Science I (COS1501)
• Theoretical Computer Science
[Pick the date]
,[Type the abstract of the document here. The abstract is typically a short summary of the contents of
the document. Type the abstract of the document here. The abstract is typically a short summary of
the contents of the document.]
, Exam (elaborations)
COS1501 Assignment 2 (COMPLETE ANSWERS) 2024
(653506) - 14 June 2024
Course
Theoretical Computer Science I (COS1501)
Institution
University Of South Africa (Unisa)
Book
Theoretical Computer Science
COS1501 Assignment 2 (COMPLETE ANSWERS) 2024 (653506) - 14 June
2024; 100% TRUSTED workings, explanations and solutions. ........
Question 1 Complete Marked out of 2.00 Let A, B and C be subsets of a
universal set U. Which one of the following four Venn diagrams presents the
set [(A ⋂ B) ’ – C] ⋂ [( A + B) – C ] ? (Hint: Draw the Venn diagrams for [(A ⋂
B) ’ – C] ⋂ [( A + B) – C ] step by step). a. b. c. d.
Step-by-Step Solution:
1. [(A ⋂ B)']: The complement of the intersection of sets A and B
Draw sets A and B.
Shade the region outside the intersection of A and B (everything except the intersection).
2. [(A ⋂ B)' - C]: Remove the region of set C from the complement of (A ⋂ B)
From the shaded area obtained in Step 1, remove the region that belongs to set C.
3. [(A + B) – C]: The union of sets A and B, minus set C
Draw sets A and B.
Shade the region inside A or B, but outside C.
4. [(A ⋂ B)’ – C] ⋂ [(A + B) – C]: Intersection of the shaded areas from Steps 2 and 3
, Find the common region in the shaded areas obtained from Steps 2 and 3.
Let's go through each of these steps visually.
Step 1: [(A ⋂ B)']
plaintext
Copy code
- Everything outside the intersection of A and B.
Step 2: [(A ⋂ B)' - C]
plaintext
Copy code
- Remove set C from the shaded area obtained in Step 1.
Step 3: [(A + B) – C]
plaintext
Copy code
- Everything inside A or B, but outside C.
Step 4: [(A ⋂ B)’ – C] ⋂ [(A + B) – C]
plaintext
Copy code
- Intersection of the shaded areas from Steps 2 and 3.
Now, let's illustrate each step:
Step 1: [(A ⋂ B)'] and Step 2: [(A ⋂ B)' - C]
Let's draw and shade the regions outside the intersection of A and B, and then remove set C from
it.
Step 3: [(A + B) – C]
Let's draw sets A and B again, and shade the region inside A or B, but outside C.
Step 3: [(A + B) – C]
plaintext
Copy code
- Everything inside A or B, but outside C.
``` ​:citation[oaicite:0]{index=0}​
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller ivymwendwa47820. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $2.60. You're not tied to anything after your purchase.
