Find the Complement 2

Problem

2

Solution

1. Identify the number for which the complement is being found. In the context of set theory, the complement of a set A (often denoted Ac consists of all elements in the universal set U that are not in A

2. Determine the universal set U Without a specified universal set, the complement cannot be uniquely defined.

3. Apply the definition of a complement. If U is the universal set, then the complement of the set {2} is defined as U∖{2}

4. Express the result. If we assume the universal set is the set of all real numbers ℝ the complement is the set of all numbers except 2

Final Answer

{2}c={x∈U:x≠2}

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