Question

441tvacr v. algebra 1 sem a cr - a
applications of probability and geometry
if ( k in a cap b ), which is the most specific location of ( k ) on the venn diagram?
i
ii
iv
iii

Explanation:

Step1: Recall Intersection Definition

The intersection \( A \cap B \) represents elements that are in both set \( A \) and set \( B \).

Step2: Analyze Venn Diagram Regions

• Region I: Only in Set \( A \) (not in \( B \)).
• Region II: In both Set \( A \) and Set \( B \) (intersection area).
• Region III: Only in Set \( B \) (not in \( A \)).
• Region IV: In the universal set \( U \) but not in \( A \) or \( B \).

Since \( k \in A \cap B \), \( k \) must be in the region common to both \( A \) and \( B \), which is Region II.

Answer:

II