Question

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.

Answer 1

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.