logo
+1-617-874-1011 (US)
+61-7-5641-0117 (AU)
+44-117-230-1145 (UK)
Live Chat

Set theory question

{`1) If P={distinct letters in the word college} and T={distinct letters in the word algebra}, what is |PxT|?`}

2) Given the following LAWS of Set Theory, use them to prove a and b below.

LAWS of Set Theory
  1. Prove that A ⋃ ( A ⋂ B) = A
  2. Prove that (A ⋃ B)’ = (A’ ⋃ B’)’

3) Two countably infinite sets are considered to have equal cardinality if and only if there exists a one-to-one and onto function that maps them from one to another. Use this fact to show that the following sets have the same cardinality.

{`S1 = { x | x is an integer } S2 = { y | y is an even integer }`}

4) If |S| = 5 and |R| = 4 then what is |SxR|?

5) What is the power set of the set of all letters in the word “babble” ?

6) Given two sets S and R such that |S| = M and |R| = N what is the minimum and maximum cardinality of the following?

  1. S ⋃ R
  2. S ⋂ R
  3. S x R
  4. 2S

7) Write a simple definition for the set of all positive integers which are a multiple of 12.

8) If our Universal set is the set of all integers, and S is the set you defined in question #7, write a definition for the set ( U – S ) ( the set of elements in U but not in S.

9) Show that the U defined in question #8 has the same cardinality as the set (U – S) you defined in question #8.

Improve Your Grades with Custom Writing Help
Homework Help
Writing Help
Editing Services
Plagiarism check
Proofreading services
Research Project help
Custom writing services
scanner
E learning blogs

Disclaimer : The study tools and academic assistance/guidance through online tutoring sessions provided by AssignmentHelp.Net is to help and enable students to compete academically. The website does not provide ghostwriting services and has ZERO TOLERANCE towards misuse of the services. In case any user is found misusing our services, the user's account will be immediately terminated.