Tell whether the statement is true or false. If false, give the reason.
-{54, 55, 54, 55} = {54, 55}
A) False; the elements cannot be repeated.
B) False; the elements are not equal.
C) True
D) False; there must be the same number of elements.

Question

Quizplus · Accepted Answer

In set theory, a set is a collection of distinct objects, considered as an object in its own right. Sets ignore the order of elements and also ignore any duplicates. Therefore, the set {54, 55, 54, 55} is indeed equal to the set {54, 55} because both contain the same distinct elements, regardless of repetition.

Tell Whether the Statement Is True or False