Question

use the venn diagram to represent the set b in roster form.
b =
(use a comma to separate answers as needed.)
venn diagram with universal set u, set a, set b. set a has 2, 5 (only in a), 7, 11 (intersection). set b has 13, 18, 21 (only in b), 7, 11 (intersection). outside both a and b: 22, 25

Explanation:

Step1: Identify Universal Set U

The universal set \( U \) contains all elements in the Venn diagram: \( 2, 5, 7, 11, 13, 18, 21, 22, 25 \).

Step2: Identify Set B

Set \( B \) contains elements in its circle: \( 7, 11, 13, 18, 21 \).

Step3: Find Complement \( B' \)

The complement \( B' \) includes elements in \( U \) but not in \( B \). So, remove \( 7, 11, 13, 18, 21 \) from \( U \). Remaining elements: \( 2, 5, 22, 25 \).

Answer:

\( \{2, 5, 22, 25\} \)