Question: If B = {a, b}, what is the power set of B?
Options:
{∅, {a}, {b}, {a, b}}
{∅, {a, b}}
{a, b}
{a, b, ∅}
Correct Answer: {∅, {a}, {b}, {a, b}}
Solution:
The power set of B = {a, b} is {∅, {a}, {b}, {a, b}}.
If B = {a, b}, what is the power set of B?
Practice Questions
Q1
If B = {a, b}, what is the power set of B?
{∅, {a}, {b}, {a, b}}
{∅, {a, b}}
{a, b}
{a, b, ∅}
Questions & Step-by-Step Solutions
If B = {a, b}, what is the power set of B?
Correct Answer: {∅, {a}, {b}, {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 B. In this case, B = {a, b}.
Step 3: List all possible subsets of B. 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 B is {∅, {a}, {b}, {a, b}}.
Power Set – The power set of a set is the set of all possible subsets, including the empty set and the set itself.
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