Question

use the venn - diagram to the right to determine the following set or cardinality. (a∩b)∪(a∩b)
choose the correct answer below, and fill in the answer box to complete your choice.
a. the expression (a∩b)∪(a∩b) corresponds to the cardinal number (type a whole number.)
b. the expression (a∩b)∪(a∩b) corresponds to the set (use a comma to separate answers as needed.)

Explanation:

Step1: Analyze regions in Venn - diagram

Identify regions for $A'\cap B$ and $A\cap B$.

Step2: Count elements in regions

Count elements in $A'\cap B$ and $A\cap B$ regions separately.

Step3: Sum up the counts

Add the number of elements in $A'\cap B$ and $A\cap B$ to get the cardinal number of $(A'\cap B)\cup(A\cap B)$.

Answer:

A. The expression $(A'\cap B)\cup(A\cap B)$ corresponds to the cardinal number [Cardinal - number - value] (Type a whole number)