2.2 Set Operations: Discrete Mathematics and its application

Click For Summary

Homework Help Overview

The discussion revolves around a problem from discrete mathematics concerning set operations, specifically the expression involving intersections and unions of sets A and B.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the validity of the original expression and whether it may have been miswritten. There is a suggestion that the expression might actually be intended as (A ∩ B) ∪ (A - B) = A.

Discussion Status

The discussion is ongoing, with some participants expressing doubt about the correctness of the original statement. Clarification is being sought regarding the notation used in the problem.

Contextual Notes

There is mention of a potential typographical error in the problem statement, specifically regarding the notation of the second B, which may affect the interpretation of the expression.

modzz
Messages
8
Reaction score
0
page.130 Ex.20

Ex.20
Show that if A and B are sets, then (A\capB) \bigcup (A\capB) = A.

how do u solve this?



The Attempt at a Solution

 
Physics news on Phys.org
You can't. It's false.
 
modzz:

did you possibly mis-type? Do you mean to show

(A \cap B) \cup (A - B) = A
 
modzz said:
page.130 Ex.20

Ex.20
Show that if A and B are sets, then (A\capB) \bigcup (A\capB) = A.

how do u solve this?



The Attempt at a Solution


I'm having trouble with this question as well. The second B has a line above it if that means anything. Please help me.
 

Similar threads

Ordered set proof review request
  • · Replies 2 ·
Replies
2
Views
1K
[Discrete] Prove that |nZ| = |Z| for any postive integer n
  • · Replies 1 ·
Replies
1
Views
2K
Is My Proof That the Union of Subsets is a Subset Correct?
  • · Replies 1 ·
Replies
1
Views
2K
Is the Number of Elements in a Set Equal to Its Power Set?
  • · Replies 3 ·
Replies
3
Views
2K
Elementary Set Theory (Discrete)
  • · Replies 1 ·
Replies
1
Views
2K
Stochastic mathematics in application to finance
  • · Replies 29 ·
Replies
29
Views
2K
Equivalence Relations and Counter Examples for Equinumerous Sets
  • · Replies 4 ·
Replies
4
Views
2K
Intro Math What were the first modern Discrete Mathematics and Precalculus texts?
  • · Replies 2 ·
Replies
2
Views
2K
Elliptic functions, properties of periods, discrete subgroup
  • · Replies 10 ·
Replies
10
Views
2K
Matching Discrete Fourier Transform (DFT) Pairs
  • · Replies 8 ·
Replies
8
Views
5K