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What is the power set of the set F = {a}?

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Question: What is the power set of the set F = {a}?

Options:

  1. {∅, {a}}
  2. {∅, a}
  3. {a}
  4. {∅}

Correct Answer: {∅, {a}}

Solution: 

The power set of F = {a} is {∅, {a}}.

What is the power set of the set F = {a}?

Practice Questions

Q1
What is the power set of the set F = {a}?
  1. {∅, {a}}
  2. {∅, a}
  3. {a}
  4. {∅}

Questions & Step-by-Step Solutions

What is the power set of the set F = {a}?
Correct Answer: {∅, {a}}
  • Step 1: Understand what a set is. A set is a collection of distinct objects, in this case, F = {a} means we have one object 'a'.
  • Step 2: Know what a power set is. The power set of a set is the set of all possible subsets of that set.
  • Step 3: Identify the subsets of the set F = {a}. The subsets include the empty set (∅) and the set itself ({a}).
  • Step 4: List the subsets. For F = {a}, the subsets are ∅ (the empty set) and {a} (the set containing 'a').
  • Step 5: Combine the subsets into the power set. The power set of F = {a} is {∅, {a}}.
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