Question

Use the Venn diagram to represent the set Upper A intersect Upper B prime in roster form.
U
A
B
2
4
9
10
14
16
20
23
25
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Part 1
Upper A intersect Upper B primeequalsStartSet nothing EndSet
  
​(Use a comma to separate answers as​ needed.)

Answer 1

To determine \( A \cap B' \) (the intersection of set A and the complement of set B), we first need to define the sets A, B, and U.

Assuming the universal set \( U \) includes all the numbers given:

\( U = \{ 2, 4, 9, 10, 14, 16, 20, 23, 25 \} \)

You will also need to specify the sets \( A \) and \( B \). Let's assume:

- Let \( A = \{ 2, 4, 14, 16 \} \)
- Let \( B = \{ 10, 14, 20 \} \)

### Step 1: Find the complement of set B (\( B' \))

The complement of B includes all elements in U that are not in B:

\[
B' = U - B = \{ 2, 4, 9, 16, 23, 25 \}
\]

### Step 2: Find the intersection \( A \cap B' \)

Now we find the intersection of A and \( B' \):

\[
A \cap B' = A \cap \{ 2, 4, 9, 16, 23, 25 \}
\]

The elements that are in both A and \( B' \) are:

- \( 2 \) (in A and B')
- \( 4 \) (in A and B')
- \( 14 \) (not in \( B' \))
- \( 16 \) (in A and B')

So,

\[
A \cap B' = \{ 2, 4, 16 \}
\]

### Final Answer

Thus,

\[
A \cap B' = \{ 2, 4, 16 \}
\]

(Use a comma to separate answers as needed.)