Exam (elaborations)
COS1501 Assignment 2 2024 (653506) - 14 June 2024
- Institution
- University Of South Africa
COS1501 Assignment 2 2024 (653506) - 14 June 2024 QUESTIONS AND ANSWERS
[Show more]
Content preview
COS1501 Assignment 22024 (653506) - 14 June
2024
COMPLETE ANSWERS
[DATE]
[Company address]
, COS1501 Assignment 2 2024 (653506) - 14 June 2024
Question 1: Venn Diagram for [(A ⋂ B)' - C] ⋂ [(A + B) - C]
To solve this, let's break down the expression step by step and draw the Venn diagrams
accordingly:
1. [(A ⋂ B)' - C]:
o First, find the complement of A∩BA \cap BA∩B: This is everything outside
A∩BA \cap BA∩B.
o Subtract CCC from this complement.
2. [(A + B) - C]:
o Find A+BA + BA+B, which is A∪BA \cup BA∪B.
o Subtract CCC from A∪BA \cup BA∪B.
Combining these two results using intersection gives us the desired set.
Since I don't have the Venn diagrams to choose from (options a, b, c, d), you would need to refer
to those to identify which diagram correctly represents the set.
Question 2: Counterexample for (A - B) U C' = (C' - B) + A
To find a counterexample:
• Substitute each given set of A,B,A, B,A,B, and CCC into both sides of the equation.
• Check if both sides are equal for any given set. If they are not equal for one set, that set is
a valid counterexample.
Let's go through the options:
• Option a: A = {1}, B = {2}, C = {3}
• Option b: A = {1}, B = {1}, C = {2}
• Option c: A = {1, 2}, B = {1, 2}, C = {3}
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 EFT, 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 this summary from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller omoka11. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy this summary for R74,45. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
67474 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy summaries for 14 years now