Verified Answer :

D is the correct answer

ANSWER: All the subsets are {\(\emptyset\)},[/tex]},{\(-8\)},{\(4\)},{\({-8,4}\)}


Explanation

If all the elements in set A can be found in set B, then set A is a subset of set B.


The empty set is a subset of every set so we list


{\(\emptyset\)}


Next list the unit set containing distinct individual elements.


{\(-8\)} and {\(4\)}


Then, lastly the set itself is a subset of itself.

{\({-8,4}\)}.


You can use the formula \(2^n\) to determine the number of subsets. The n is the number of distinct elements in the set.

This means that, the given set will have \(2^2=4\) subsets.


Therefore the correct answer is D