Chapter 1, Problem 7RE

To determine

To Express: The inequalities in terms of the interval. $x\ge 5$ .

Answer to Problem 7RE

In this interval, $x\ge 5$ , $x$ is a member of family of real numbers such that $x$ is a number of the interval $\{x\in R\backslash 5\le x\prec \infty \}$ .

  

Explanation of Solution

Given information:

The inequality $x\ge 5$ .

Formula used:

The notation of number line shows the given interval $\left[\right)$ shows that closed and a open interval.

Calculation:

It is provided that the notation $x\ge 5$ . It means $\left[5,\infty \right)$ ,shows that the real numbers are here starting form 5 and endless it means all real numbers upto 5..

So the interval is , $\{x\in R\backslash 5\le x\prec \infty \}$ .

This is the written statement of this notation and here x is a member of family of real numbers such that x is a number of the interval $x\ge 5$ ..

Also this equation is written as: $\{x\in R\backslash x\in \left[5,\infty \right)\}$ .

The notation of these inequalities are here:

  

Thus, this inequality is an closed and open interval , it means it starts form 5 and ended to any real number.