Question

Write out the following sets by listing their elements between braces. $$ \\{X: X \subseteq\\{3,2, a\\} \text { and }|X|=1\\} $$

Short answer

The subsets of the set {3,2,a} with cardinality 1 are: {3}, {2}, and {a}.

Step-by-step solution

Identifying elements of the set

First, identify the elements of given set, which are {3,2,a}.

Listing subsets with cardinality 1

Now, write down all possible subsets of {3,2,a} that contain only one element. Remember that a subset is a part of a set, which may include some or all of the set elements. Here, because it's specified that the subset should have 1 element, each subset will consist of only one of the original elements. The subsets of {3,2,a} with cardinality 1 are: {3}, {2}, and {a}.