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Use the given sets to solve each problem. A={Felix, Amber } B={ moral, social, civil }

List all the subsets of A and subsets of B.

User Pobrelkey
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Final answer:

Subsets of set A include the empty set, each individual element, and the entire set. Subsets of set B also include the empty set, each individual element, all pairs of elements, and the entire set. The number of possible subsets for any set is 2 to the power of the number of elements in the set.

Step-by-step explanation:

To list all the subsets of set A={Felix, Amber} and set B={moral, social, civil}, we need to include all possible combinations of elements including the empty set. For set A, which has 2 elements, the subsets are:

  • {} (the empty set)
  • {Felix}
  • {Amber}
  • {Felix, Amber}

For set B, which has 3 elements, the subsets are:

  • {} (the empty set)
  • {moral}
  • {social}
  • {civil}
  • {moral, social}
  • {moral, civil}
  • {social, civil}
  • {moral, social, civil}

Remember, the number of subsets for a set is calculated by 2n, where n is the number of elements in the set.

User Ulquiomaru
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