Question

use the accompanying venn diagram, which shows the cardinality of each region, to answer the question below. how many elements belong to set b? there are \boxed{} elements that belong to set b. (simplify your answer.)

Explanation:

Step1: Identify regions in set B

Set B's regions are the parts of circle B: only B (7), B and A only (3), B and C only (4), and all three (9).

Step2: Sum the cardinalities

Add the numbers: \( 3 + 7 + 4 + 9 \).
Calculate: \( 3 + 7 = 10 \), \( 10 + 4 = 14 \), \( 14 + 9 = 23 \).

Answer:

23