Question

What are all the subsets of the set?

{-8,4}

A. Ø, {-8}, {4}
B. {-8}, {4}, {-8,4}
C. {-8}, {4}
D. Ø, {-8}, {4}, {-8,4}

Answer 1

D is the correct answer

Answer 2

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