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}
It's A.
Sorry -- D
a subset can include all the elements
quick check:
a set of n elements has 2^n subsets
They are called the power set
the zero with a line is the Greek letter phi
Thank y'all!!!
To find all the subsets of a given set, you can use the power set concept. The power set of a set is the set of all possible subsets that can be formed from the original set.
In this case, the given set is {-8, 4}. To find the power set, you can consider each element in the set and either include or exclude it in each subset.
Let's go through the process step by step:
1. Start with an empty set, which is represented by the symbol Ø or by the option "0 with a line through it".
2. Include the first element, -8, in some subsets. This gives us the subsets {-8}.
3. Include the second element, 4, in some subsets. This gives us the subsets {4}.
4. Finally, include both elements, -8 and 4, in some subsets. This gives us the subset {-8, 4}.
Putting all the subsets together, we have {-8}, {4}, {-8, 4}. Therefore, option b. {-8}, {4}, {-8, 4} is the correct answer.