The power set of a set is the set of all its subsets. For A = {a, b}, the power set is {∅, {a}, {b}, {a, b}}.
What is the power set of A = {a, b}?
Practice Questions
Q1
What is the power set of A = {a, b}?
{∅, {a}, {b}, {a, b}}
{a, b}
{∅, {a, b}}
{a, b, {a, b}}
Questions & Step-by-Step Solutions
What is the power set of A = {a, b}?
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 original set A. In this case, A = {a, b}.
Step 3: List all possible subsets of A. The subsets include: the empty set (∅), the set containing just 'a' ({a}), the set containing just 'b' ({b}), and the set containing both 'a' and 'b' ({a, b}).
Step 4: Combine all the subsets into one set. The power set of A is {∅, {a}, {b}, {a, b}}.
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