In Exercises 21–28, find the intersection of the sets. {s,e,t}∩{t,e,s}

Key Concepts

Sets

A set is a collection of distinct objects, considered as an object in its own right. In mathematics, sets are often defined by listing their elements within curly braces, such as {s, e, t}. The order of elements in a set does not matter, and duplicates are not allowed, meaning {s, e, t} is the same as {t, e, s}.

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 we have sets A = {1, 2, 3} and B = {2, 3, 4}, the intersection A ∩ B would be {2, 3}, as these are the elements present in both sets.

Element Membership

Element membership refers to whether an object is a member of a set. This is often denoted using the symbol '∈'. For instance, if we say 's ∈ {s, e, t}', it means that 's' is an element of the set. Understanding element membership is crucial for determining the intersection, as it helps identify which elements are shared between the sets.