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What is the power set of the empty set ∅?
What is the power set of the empty set ∅?
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Practice Questions
1 question
Q1
What is the power set of the empty set ∅?
{∅}
{∅, {∅}}
∅
{∅, ∅}
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The power set of the empty set contains only the empty set itself: {∅}.
Questions & Step-by-step Solutions
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Q
Q: What is the power set of the empty set ∅?
Solution:
The power set of the empty set contains only the empty set itself: {∅}.
Steps: 5
Show Steps
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 {∅}.
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