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Chapter 10: Problem 32

Look at the following code: set1 = set([1, 2, 3, 4]) set2 = set([2, 3]) Which of the sets is a subset of the other? Which of the sets is a superset of the other?

Short Answer

Expert verified
Answer: Set2 is a subset of set1, and set1 is a superset of set2.

Step by step solution

01

Understand the definitions of subset and superset

A set A is a subset of another set B if every element in A is also an element of B. The notation A ⊆ B is used to denote that A is a subset of B. Similarly, a set B is a superset of another set A if every element in A is also an element of B. The notation B ⊇ A is used to denote that B is a superset of A.
02

Examine the given sets

We have two sets: - set1 = {1, 2, 3, 4} - set2 = {2, 3}
03

Check for subset and superset relations

Since all elements in set2 (2 and 3) are included in set1, we can say that set2 is a subset of set1. Using the notation, set2 ⊆ set1. As set1 contains all elements of set2 and more, set1 is a superset of set2. Using the notation, set1 ⊇ set2. In conclusion, set2 is a subset of set1, and set1 is a superset of set2.

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