Chapter 3.6, Problem 1P

Write a compound inequality that represents each phrase. Graph the solutions.

all real numbers that are less than -3 or greater than or equal to 5

To determine

To write: and write the compound inequality that represents the given phrase.

Explanation of Solution

Given information:

The given statement is

“all real numbers that are less than $-3$ or greater than or equal to $5$ ”.

Calculation:

Let the real number is x.

x is less than $-3$ . So $x<-3$

x is greater than or equal to $5$ .So, $x\ge 5$ .

Hence, the compound inequality of given phrase is $x<-3\cup x\ge 5$

Graph:

The graph of is shown below.

  

In above graph shaded line is the solution of the inequality. Open circle indicates not

including the point, closed circle indicates including the point.