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}`}

Step-by-step 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