Drawing the Venn Diagram for A ∩ Bc

  • Context: MHB 
  • Thread starter Thread starter WannaBe
  • Start date Start date
  • Tags Tags
    Diagram Drawing Venn
Click For Summary

Discussion Overview

The discussion revolves around drawing a Venn diagram for the intersection of set A and the complement of set B (A ∩ Bc). Participants explore the correct representation of this intersection within the context of set theory.

Discussion Character

  • Technical explanation

Main Points Raised

  • One participant requests a Venn diagram for A ∩ Bc and asks for validation of their solution.
  • Several participants affirm that the solution presented looks good.
  • There is a discussion about the interpretation of A ∩ Bc being equivalent to A - B, with a focus on shading in the Venn diagram.
  • Another participant clarifies that while considering the universe (rectangle) outside of A and B, the highlighted region in red corresponds to the intersection of A and Bc.

Areas of Agreement / Disagreement

Participants generally agree on the correctness of the solution and the interpretation of A ∩ Bc, but there are nuances in how the regions are represented and shaded in the Venn diagram.

Contextual Notes

The discussion does not resolve potential ambiguities regarding the shading of regions outside A and B, nor does it clarify all assumptions about the representation of the universe in the Venn diagram.

WannaBe
Messages
11
Reaction score
0
Draw the venn diagram for A∩Bc

(A Intersection B Completement)

Is my solution correct?

View attachment 1524
 

Attachments

  • A-B.png
    A-B.png
    2.2 KB · Views: 133
Physics news on Phys.org
Yep, looks good. (Yes)
 
Jameson said:
Yep, looks good. (Yes)
Thank You.

A∩Bc = A-B

So, we don't shade anything in the Universe (rectangle) right? (i.e. outside of A and B)
 
WannaBe said:
Thank You.

A∩Bc = A-B

So, we don't shade anything in the Universe (rectangle) right? (i.e. outside of A and B)

Correct. You're thinking in the right way considering events outside of $A$ and $B$ though. For example, $B^c$ is part of $A$ and everything outside the two circles. However, when we see what is both in $A$ and this region, $B^c$, it is in fact the region you have highlighted in red.
 

Similar threads

High School Do any 3D Venn diagrams exist that have no 2D analogues?
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Implication, Boolean Expression and Venn Diagrams
  • · Replies 12 ·
Replies
12
Views
7K
MHB Venn diagram and table word problem Help
  • · Replies 1 ·
Replies
1
Views
2K
MHB Venn Diagram: p v (q ^ r) = (p v q) ^ (p v r)
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad This would be a false statement, correct?
  • · Replies 6 ·
Replies
6
Views
2K
High School Cant get Venn diagram to agree with Demorgan's Law
  • · Replies 10 ·
Replies
10
Views
3K
MHB Confusing Venn Diagram problem
  • · Replies 4 ·
Replies
4
Views
3K
MHB How Do Truth Tables and Venn Diagrams Verify Logical Equivalence?
  • · Replies 1 ·
Replies
1
Views
3K
MHB Noelia's question at Yahoo Answers regarding use of a Venn diagram
  • · Replies 1 ·
Replies
1
Views
2K
MHB Venn Diagram II: Check Answers & Understand Relationships
  • · Replies 11 ·
Replies
11
Views
3K