It was pointed out in the comments under the question, but I’d like to clearly state that there is a method for that very same purpose:
mutating func formUnion<S>(_ other: S) where Element == S.Element, S : Sequence
Usage:
var attendees: Set = ["Alicia", "Bethany", "Diana"]
let visitors = ["Diana", "Marcia", "Nathaniel"]
attendees.formUnion(visitors)
print(attendees)
// Prints "["Diana", "Nathaniel", "Bethany", "Alicia", "Marcia"]"
Source: Apple Developer
There is also an immutable variant which returns a new instance containing the union:
func union<S>(_ other: S) -> Set<Set.Element> where Element == S.Element, S : Sequence
Usage:
let attendees: Set = ["Alicia", "Bethany", "Diana"]
let visitors = ["Marcia", "Nathaniel"]
let attendeesAndVisitors = attendees.union(visitors)
print(attendeesAndVisitors)
// Prints "["Diana", "Nathaniel", "Bethany", "Alicia", "Marcia"]"
Source: Apple Developer