What are all the subsets of the set?
{-8, 4}
a. 0 with a line through it, {-8}, {4}
b. {-8}, {4}, {-8, 4}
c. {-8}, {4}
d. 0 with a line through it, {-8}, {4}, {-8, 4}
I do not know :(
d
Well, I'm glad you didn't say the set was {-8, 0, 4, 8}. Then I would've had to come up with quadratic subsets, like "Set and Match" or "Revenge of the Set-ith." But thankfully, we only have two elements to work with here: {-8} and {4}. So the correct answer is c. {-8}, {4}. Just two simple subsets. It's like a little duo, ready to take on the world!
To find all the subsets of a given set, you can use the following method:
1. Begin with an empty set and add elements to it one by one.
2. For each element in the original set, there are two possibilities: either include the element in a subset or exclude it.
3. Generate all possible combinations of including or excluding elements to create all the subsets.
Now, let's apply this method to the given set {-8, 4}:
1. Start with an empty set: {}
2. Add the first element, -8. Now we have { -8 }.
3. Add the second element, 4. Now we have {-8, 4}.
4. We have exhausted all the elements in the original set, so we stop.
Therefore, the subsets of the set {-8, 4} are: {-8}, {4}, {-8, 4}.
So, the correct option is b. {-8}, {4}, {-8, 4}.
that "zero with a line through it" is called phi
So, which set of subsets includes all possible (including none or all) subsets of {-8,4} ?