Chapter 3.5, Problem 22P

List all the subsets of each set.

$\left\{0\right\}$

To determine

To find:All the subsets of $\left\{0\right\}$

Answer to Problem 22P

The subsets of $\left\{0\right\}$ are $\left\{0\right\},\left\{\varphi \right\}$

Explanation of Solution

Given information:The set $\left\{0\right\}$

Calculation:The number of possible subsets of a set with $n$ number of elements is $2^n$

Here, $n=1$ , then number of possible subsets $=2^1=2$

The subsets of $\left\{0\right\}$ are

  $\left\{0\right\},\left\{\varphi \right\}$ , where $\left\{\varphi \right\}$ is the null set.