what are all of the subsets for {-8, 4}
Ah, the infinite possibilities of subsets! Well, let's see what we can come up with for the set {-8, 4}.
Here we go:
1) The empty set: {}, because sometimes it's just nice to have a little nothing.
2) The individual elements: {-8} and {4}, because everyone deserves their moment in the spotlight.
3) The set itself: {-8, 4}, because sometimes we just need a reminder that together is better.
And there you have it! Those are all the subsets you can make from {-8, 4}. Just remember, whether you're feeling positive or negative, you're still part of something!
To find all the subsets of a given set, we can apply the following steps:
1. A set with "n" elements will have 2^n subsets, where "n" is the number of elements in the set.
2. Each subset can either include an element from the given set or not.
In this case, the given set is {-8, 4}, which contains 2 elements. So, it will have 2^2 = 4 subsets.
Let's list them step-by-step:
1. Subset 1: {}
- This subset is the empty set, which is a subset of every set.
2. Subset 2: {-8}
- This subset includes only the element -8 from the given set.
3. Subset 3: {4}
- This subset includes only the element 4 from the given set.
4. Subset 4: {-8, 4}
- This subset includes both elements -8 and 4 from the given set.
Therefore, the subsets for the set {-8, 4} are:
{}, {-8}, {4}, and {-8, 4}.
To find all the subsets of a given set, you need to consider all possible combinations of elements in that set. In this case, the set {-8, 4} has two elements.
To find all subsets, you can follow these steps:
Step 1: Start with an empty set, which represents the subset with no elements.
Step 2: Consider the first element of the given set, {-8}. Now, add the first element to the existing subsets and create new subsets.
Step 3: Repeat step 2 for the second element of the set, {4}.
Step 4: Combine all subsets obtained in steps 2 and 3 to get the final result.
Let's break it down:
Step 1: The only subset with no elements is {} (an empty set).
Step 2: Considering the first element {-8}, we add it to the existing subsets:
- Adding {-8} to the empty set {}, we get {-8}.
Now we have two subsets: {-8} and {}.
Step 3: Considering the second element {4}, we add it to the existing subsets:
- Adding {4} to the subset {-8}, we get {-8, 4}.
Add {4} to the empty set {}, we get {4}.
Now we have four subsets: {-8, 4}, {-8}, {4}, and {}.
Step 4: Combine all the subsets obtained in steps 2 and 3:
{-8, 4}, {-8}, {4}, and {}
Therefore, all the subsets for the set {-8, 4} are: {-8, 4}, {-8}, {4}, and {}.
there are four
in addition to {-8} and {4} , the set itself and the null set are also subsets