Question: If D = {1, 2}, what is the power set of D?
Options:
{∅, {1}, {2}, {1, 2}}
{∅, {1}, {2}}
{1, 2}
{1, 2, ∅}
Correct Answer: {∅, {1}, {2}, {1, 2}}
Solution:
The power set of D = {1, 2} is {∅, {1}, {2}, {1, 2}} which contains 4 subsets.
If D = {1, 2}, what is the power set of D?
Practice Questions
Q1
If D = {1, 2}, what is the power set of D?
{∅, {1}, {2}, {1, 2}}
{∅, {1}, {2}}
{1, 2}
{1, 2, ∅}
Questions & Step-by-Step Solutions
If D = {1, 2}, what is the power set of D?
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 D. In this case, D = {1, 2}.
Step 3: List all possible subsets of D. The subsets include: 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 one set. The power set of D is {∅, {1}, {2}, {1, 2}}.
Step 5: Count the number of subsets. There are 4 subsets in total.
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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