Question

use the accompanying venn diagram, which shows the cardinality of each region, to answer the question below. how many elements belong to set a but not set c? there are \boxed{} elements that belong to set a but not set c. (simplify your answer.)

Explanation:

Step1: Identify regions in A not C

Regions in set A but not set C are the parts of A that don't overlap with C. From the Venn diagram, these are the region with 6 (only A) and the region with 5 (A and B, not C).

Step2: Sum the cardinalities

Add the numbers in these regions: \( 6 + 5 = 11 \).

Answer:

11