Question

use the venn diagram shown to answer the question below. which regions represent set a? list the regions that represent set a. (type your answer using roman numerals. use a comma to separate answers as needed.)

Explanation:

Step1: Recall Complement Definition

The complement of set \( A \) (denoted \( A' \)) contains all elements in the universal set \( U \) that are not in \( A \).

Step2: Identify Regions in \( A \)

In the Venn diagram, set \( A \) includes regions I, II, IV, V (the regions inside circle \( A \)).

Step3: Determine Regions in \( A' \)

Regions not in \( A \) are III, VI, VII, VIII (regions outside circle \( A \)).

Answer:

III, VI, VII, VIII