Which of the following statements is not true? (A) \( \{5\} \in\{3,4,5,6\} \) (B) \( 5 \in\{3,4,5,6\} \) (C) \( \{5\} \subset\{3,4,5,6\} \) (D) \( \{5\} \subset\{3,4,5,6\} \) Ouestion 11

The statement \( \{5\} \in\{3,4,5,6\} \) is not true because a set containing an element (like \( \{5\} \)) cannot be an element of another set that contains individual elements (like \( 3, 4, 5, \) and \( 6 \)). In simpler terms, \( 5 \) is in the set, but the set containing \( 5 \) itself is not one of the separate individual items within the larger set. Interestingly, understanding this set theory can clarify concepts in computer science, particularly in data structures. For instance, lists and sets store information differently; lists allow duplicates and maintain order, whereas sets do not! This knowledge is crucial when deciding which data structure to utilize based on your needs for uniqueness and order in your programming tasks.