Chapter 3.5, Problem 21P

List all the subsets of each set.

$\{-5,5\}$

To determine

To find:All the subsets of $\{-5,5\}$

Answer to Problem 21P

The subsets of $\{-5,5\}$ are $\{-5,5\},\{-5\},\left\{5\right\},\left\{\varphi \right\}$

Explanation of Solution

Given information:The set $\{-5,5\}$

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

Here, $n=2$ , then number of possible subsets $=2^2=4$

The subsets of $\{-5,5\}$ are

  $\{-5,5\},\{-5\},\left\{5\right\},\left\{\varphi \right\}$ , where $\left\{\varphi \right\}$ is the null set.