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What is the power set of the set G = {1}?

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Question: What is the power set of the set G = {1}?

Options:

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

Correct Answer: {∅, {1}}

Solution: 

The power set of G = {1} is {∅, {1}}.

What is the power set of the set G = {1}?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the power set of the set G = {1}?
  • Step 1: Understand what a power set is. A power set is the set of all possible subsets of a given set.
  • Step 2: Identify the set G. In this case, G = {1}.
  • Step 3: List all possible subsets of G. The subsets of G are: the empty set (∅) and the set itself ({1}).
  • Step 4: Combine the subsets into the power set. The power set of G is {∅, {1}}.
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