Which of the following sets is equal to the set of all subsets of {1, 2}?
Practice Questions
Q1
Which of the following sets is equal to the set of all subsets of {1, 2}?
{{1}, {2}}
{{}, {1}, {2}, {1, 2}}
{{1, 2}}
{{1, 2}, {1}, {2}}
Questions & Step-by-Step Solutions
Which of the following sets is equal to the set of all subsets of {1, 2}?
Step 1: Understand what a set is. A set is a collection of distinct objects, in this case, the set {1, 2}.
Step 2: Know what a subset is. A subset is any combination of elements from a set, including the empty set and the set itself.
Step 3: List all possible subsets of the set {1, 2}. 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: Write down all the subsets together. The complete list of subsets is: {{}, {1}, {2}, {1, 2}}.
Step 5: Recognize that this list of subsets is called the power set of {1, 2}.
