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}
The subsets of the set {–8, 4} are:
- The empty set {}
- {–8}
- {4}
- {–8, 4}
The subsets of the set {–8, 4} are:
1. { }
2. {–8}
3. {4}
4. {–8, 4}
To find all the subsets of a given set, you can use the power set method. The power set of a set is a set that contains all possible subsets of the original set.
In this case, the given set is {–8, 4}. To find all the subsets, you can follow these steps:
1. Start with an empty set as the first subset: {}
2. Take each element from the original set and generate new subsets by combining it with the previous subsets.
- Take –8 and combine it with the previous subsets: {–8}
- Take 4 and combine it with the previous subsets: {4}
3. Combine –8 and 4 with the previous subsets: {–8, 4}
4. Finally, include the original set itself as a subset: {–8, 4}
So, the subsets of the set {–8, 4} are:
- {}
- {–8}
- {4}
- {–8, 4}
Therefore, the correct answer is:
{–8}, {4}, {–8, 4}