The power set of B = {a, b} is {∅, {a}, {b}, {a, b}}.
Questions & Step-by-step Solutions
1 item
Q
Q: If B = {a, b}, what is the power set of B?
Solution: The power set of B = {a, b} is {∅, {a}, {b}, {a, b}}.
Steps: 4
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}}.
