Question

v. algebra 1 sem a cr - a nd venn diagrams on the venn diagram, which region(s) represent the union of set a and set b (a ∪ b)? set a set b u iv i ii iii i, ii, and iii ii i, ii, iii, and iv i and iii

Explanation:

Step1: Recall Union Definition

The union of two sets \( A \) and \( B \) (\( A \cup B \)) includes all elements that are in \( A \), in \( B \), or in both.

Step2: Analyze Venn Diagram Regions

• Region I: Only in Set \( A \).
• Region II: In both Set \( A \) and Set \( B \).
• Region III: Only in Set \( B \).
• Region IV: In neither Set \( A \) nor Set \( B \).

So, \( A \cup B \) includes regions I (only \( A \)), II (both), and III (only \( B \)).

Answer:

I, II, and III