Question What are all the subsets of the set? {–8, 4} (1 point) Responses , {–8}, {4} Image with alt text: empty set , {–8}, {4} {–8}, {4}, {–8, 4} {–8}, {4}, {–8, 4} {–8}, {4} {–8}, {4} , {–8}, {4}, {–8, 4} Image with alt text: empty set , {–8}, {4}, {–8, 4}
The subsets of the set {–8, 4} are:
1. {–8}
2. {4}
3. {–8, 4}
4. {} (empty set)
The subsets of the set {–8, 4} are:
1. {–8}
2. {4}
3. {}
4. {–8, 4}
To find all the subsets of a given set, you need to consider all possible combinations of elements in the set, including the empty set and the set itself.
Given the set {–8, 4}, we can start by identifying the individual elements: –8 and 4.
To create subsets, we can choose to include or exclude each element from the original set. Since we have 2 elements in total, we will have 2^2 = 4 possible subsets.
Here are the four subsets of the set {–8, 4}:
1) Empty set (no elements): {}
2) Subset with only –8: {–8}
3) Subset with only 4: {4}
4) Subset with both –8 and 4: {–8, 4}
So, the subsets of the set {–8, 4} are:
{}, {–8}, {4}, {–8, 4}