Fill in the blank The ______ of sets A and B is the set of all the elements which are common to both A and B

The intersection of sets A and B is the set of all the elements which are common to both A and B. Symbolically, the intersection of two sets A and B is denoted as $A \cap B$. In set theory, the intersection operation yields a new set containing elements that exist in both A and B simultaneously.

For example, if we have:

• Set A = {1, 2, 3, 4}
• Set B = {3, 4, 5, 6}

The intersection $A \cap B$ would be {3, 4}, because these are the elements that are present in both sets. Understanding the intersection of sets is critical in various fields of mathematics, including statistics, probability, and logical reasoning, as it helps define relationships and commonalities between different groups of data.