Question

List all the subsets of the set {7,14} 1. Let U={1,2,3,4,5,6,7},S={2,3,4,6} and T={2,4,5,7} List the elements of the following sets: a) S

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Answer 1

The subsets of the set {7,14} are: the empty set, {7}, {14}, and {7,14}. The elements of set S', the complement of set S in the universal set U, are {1, 5, 7}.

Step-by-step explanation:

In the context of set theory, finding the subsets of a set involves listing all possible combinations of the elements in the set, including the empty set and the set itself. For the set {7,14}, there are four possible subsets:

• The empty set {}
• {7}
• {14}
• {7, 14}

Considering sets U, S, and T, the elements of the set S' (the complement of S in U) include all elements in the universal set U that are not in set S. To find set S', we simply list the elements of U that are not in S. So, S' = {1, 5, 7}.