Question

Determine if the following collection is a partition of ({1, 2, 3, 4, 5, 6, 7, 8}). Justify your answer.

a. True
b. False

Answer 1

The student's question does not provide the necessary subsets to determine if the collection is a partition of the set {1, 2, 3, 4, 5, 6, 7, 8}. A partition requires all elements to be included in exactly one subset, the subsets to be non-empty and disjoint, and their union to equal the original set.

Step-by-step explanation:

The student's question appears to be incomplete; it does not provide a clear set of subsets to examine if they form a partition of the set {1, 2, 3, 4, 5, 6, 7, 8}. To determine if a collection of subsets is a partition of a set, the following conditions must be met:

• Each element of the original set must be included in exactly one of the subsets.
• The subsets must be non-empty.
• The subsets must be disjoint, meaning no two subsets have elements in common.
• The union of the subsets must equal the original set.

Given that the collection of subsets to be evaluated has not been provided, an accurate answer cannot be given. It is important to have all necessary information before a partition can be assessed.