Chapter 8, Problem 1RE

To determine

Whether the provided statement “ $9\in \left\{8,4,-3,-9,6\right\}$ ” is true or false.

Answer to Problem 1RE

Solution:

The statement is false.

Explanation of Solution

Given:

The provided statement $9\in \left\{8,4,-3,-9,6\right\}$

Explanation:

Consider the statement

$9\in \left\{8,4,-3,-9,6\right\}$ …...…... (1)

Consider $\left\{8,4,-3,-9,6\right\}$ as set A.

Now, from (1),

It is clear that $9$ is not the element of the set A, such that:

The statement $9\in \left\{8,4,-3,-9,6\right\}$ is false.