How Many Elements Are in the Intersection of Two Sets with No Common Elements?

  • Context: High School 
  • Thread starter Thread starter pampam
  • Start date Start date
  • Tags Tags
    Discrete Structures
Click For Summary
SUMMARY

The discussion centers on the mathematical concept of set intersection, specifically addressing the scenario where two sets, sub1 and sub2, have no common elements. Given that sub1 contains 12 elements and sub2 contains 18 elements, the intersection of these two sets results in a null set, confirming that there are zero elements in the intersection. This conclusion is based on the fundamental principle that the intersection of two disjoint sets is always empty.

PREREQUISITES
  • Understanding of basic set theory concepts
  • Familiarity with the definition of intersection in mathematics
  • Knowledge of null sets and their properties
  • Ability to differentiate between disjoint and overlapping sets
NEXT STEPS
  • Study the properties of disjoint sets in set theory
  • Learn about Venn diagrams and their use in visualizing set intersections
  • Explore advanced topics in set theory, such as unions and complements
  • Investigate applications of set theory in computer science and data structures
USEFUL FOR

Mathematicians, educators, students studying set theory, and anyone interested in the foundational concepts of mathematics.

pampam
Messages
1
Reaction score
0
How many elements are in a sub1 intersect a sub 2 which equals a null set

when a sub 1 =12 and a sub2 = 18
 
Physics news on Phys.org
what ...is it sub1 INTERSECT (sub2=null set)?
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 18 ·
Replies
18
Views
5K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
8K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 20 ·
Replies
20
Views
2K
  • · Replies 25 ·
Replies
25
Views
10K