Which of the following sets is a power set of F = {1, 2}?
Practice Questions
Q1
Which of the following sets is a power set of F = {1, 2}?
{{1}, {2}}
{{}, {1}, {2}, {1, 2}}
{{1, 2}}
{{1, 2}, {1}}
Questions & Step-by-Step Solutions
Which of the following sets is a power set of F = {1, 2}?
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 F. In this case, F = {1, 2}.
Step 3: List all possible subsets of F. The subsets are: the empty set {}, the set containing just 1 {1}, the set containing just 2 {2}, and the set containing both elements {1, 2}.
Step 4: Combine all the subsets into a single set. The power set of F is {{}, {1}, {2}, {1, 2}}.
