Question

in the braces below, list all subsets of the set {a, b}. write each subset in your list in roster form. if there is more than one subset in your list, separate them with commas. if you need the empty set in your list use the symbol ∅.

Explanation:

Step1: Identify empty subset

The empty set is a subset of every set, denoted as $\varnothing$.

Step2: Identify single-element subsets

Subsets with one element from $\{a,b\}$: $\{a\}$, $\{b\}$.

Step3: Identify full set subset

The set itself is a subset: $\{a,b\}$.

Step4: Combine all subsets

List all identified subsets separated by commas.

Answer:

$\varnothing$, $\{a\}$, $\{b\}$, $\{a,b\}$