What is the power set of the empty set ∅?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the power set of the empty set ∅?
  • Step 1: Understand what a set is. A set is a collection of distinct objects.
  • Step 2: Recognize what the empty set (∅) is. The empty set is a set that contains no elements.
  • Step 3: Learn about the power set. The power set of a set is the set of all possible subsets of that set.
  • Step 4: Identify the subsets of the empty set. The only subset of the empty set is the empty set itself.
  • Step 5: Write the power set of the empty set. Since the only subset is the empty set, the power set is {∅}.
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely