Find the subsets of the set with zero elements, one element, and two elements.
∅, {- 2}, { 2}, {- 2, 2}
Practice makes perfect
A subset of a set is also a set. The requirement is that all elements in the subset are also elements of the set. We can list all the subsets starting with the ones having 0 elements, followed by 1 and 2 elements.
Zero-Element Subsets
The only subset of any set with zero elements is the empty set. We write this using the empty set notation.
∅
One-Element Subsets
There are two elements in our original set. We can use each of these to form the single element subsets.
{- 2}, { 2}
Two-Element Subsets
The original set has two elements, so we can only form one subset having two elements: the original set itself.
{- 2, 2}
Summary
We have a total of 4 subsets.
∅, {- 2}, { 2}, {- 2, 2}
