From the Venn diagram, we need to determine the intersection of sets $A$ and $B$, denoted as $A \cap B$, which includes elements that are common to both sets.

Elements in each set:

• Set A: {3, 5, 7, 12}
• Set B: {7, 12, 14, 16, 19}
• Universal Set (U): {3, 5, 7, 12, 14, 16, 19, 24, 27}

Intersection $A \cap B$:

The elements that appear in both sets $A$ and $B$ are 7 and 12.

Thus, the correct answer should be: $A \cap B = \{7, 12\}$

However, the given answer in the image is $\{5, 12\}$, which appears to be incorrect based on the diagram.

Would you like more clarification or a breakdown of how intersections work in set theory?

Related Questions:

1. What is the union of $A$ and $B$, denoted as $A \cup B$?
2. What elements belong to the universal set but not in $A \cup B$?
3. How is a Venn diagram used to visualize set operations?
4. What are the properties of set intersection and union?
5. Can two sets have an empty intersection? If so, what does that mean?

Tip:

In set theory, the intersection of two sets contains only the elements that are found in both sets. Always check for common elements carefully!