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What is the power set of the set F = {a}?
What is the power set of the set F = {a}?
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Practice Questions
1 question
Q1
What is the power set of the set F = {a}?
{∅, {a}}
{∅, a}
{a}
{∅}
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The power set of F = {a} is {∅, {a}}.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the power set of the set F = {a}?
Solution:
The power set of F = {a} is {∅, {a}}.
Steps: 5
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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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