Questions: Thinking - Fall 2024 - 21337 List all the subsets of the given set. 0 The subsets are . (Use a comma to separate answers as needed.)

Thinking - Fall 2024 - 21337

List all the subsets of the given set.
0

The subsets are . 
(Use a comma to separate answers as needed.)
Transcript text: Thinking - Fall 2024 - 21337 List all the subsets of the given set. $\{0\}$ The subsets are $\square$ . (Use a comma to separate answers as needed.)
failed

Solution

failed
failed

Solution Steps

To list all the subsets of a given set, we need to consider all possible combinations of its elements, including the empty set and the set itself. For a set with \( n \) elements, there are \( 2^n \) subsets.

Step 1: Identify the Given Set

The given set is \(\{0\}\).

Step 2: Determine the Number of Subsets

For a set with \( n \) elements, the number of subsets is \( 2^n \). Here, \( n = 1 \), so the number of subsets is \( 2^1 = 2 \).

Step 3: List All Subsets

The subsets of \(\{0\}\) are:

  1. The empty set: \(\emptyset\)
  2. The set itself: \(\{0\}\)

Final Answer

\(\boxed{\emptyset, \{0\}}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful