What are all the subsets of the set?
{-8, 4}
(1 point)
O, (-8), {4}
O {-8}, {4}, {-8, 4}
O {-8}, {4}
O, (-8), (4), (-8, 4}
The correct answer is { }, {-8}, {4}, {-8, 4}.
To find all the subsets of the given set {-8, 4}, we can use the concept that each element can either be included or excluded from a subset.
So, the subsets of the given set are:
1) Empty set: {}
2) Subset with only -8: {-8}
3) Subset with only 4: {4}
4) Subset with both -8 and 4: {-8, 4}
Therefore, the correct answer is:
{-8}, {4}, {-8, 4}
To find all the subsets of a given set, follow these steps:
1. Start by writing down all the individual elements of the set.
In this case, the given set is {-8, 4}. So write down {-8} and {4}.
2. Next, consider all the possible combinations of the individual elements.
To create subsets, you can choose to include or exclude each element.
For this set, you have two elements, so there are 2^2 = 4 possible subsets.
3. List out all the subsets:
- Subset 1: {}
This is called the empty set or the null set. It contains no elements.
- Subset 2: {-8}
This subset contains only the element -8.
- Subset 3: {4}
This subset contains only the element 4.
- Subset 4: {-8, 4}
This subset contains both elements -8 and 4.
Therefore, the answer is:
The subsets of the set {-8, 4} are:
1) {},
2) {-8},
3) {4},
4) {-8, 4}