In Exercises 1–6, find the intersection of the sets. { a, b, c, d} ⋂ ∅

Key Concepts

Sets

A set is a collection of distinct objects, considered as an object in its own right. Sets can contain numbers, letters, or other sets, and are typically denoted by curly braces. Understanding sets is fundamental in mathematics, as they form the basis for various operations and relations.

Intersection of Sets

The intersection of two sets is a new set that contains all the elements that are common to both sets. It is denoted by the symbol '∩'. For example, if set A contains {a, b, c} and set B contains {b, c, d}, then the intersection A ∩ B would be {b, c}.

Empty Set

The empty set, denoted by '∅', is a set that contains no elements. It is a fundamental concept in set theory, representing the idea of 'nothing' in a mathematical context. The intersection of any set with the empty set is always the empty set, as there are no common elements.