Chapter 3.6, Problem 23P

Write a compound inequality that each graph could represent.

To determine

To write: the compound inequality that represents the given graph.

Answer to Problem 23P

The inequality representation of given graph is $\left(-\infty ,1\right)\text{ or }(1,\infty )$

Explanation of Solution

Given information:

The given graph is as follows

  

Concept used:

The open circle in the graph indicates excluding the point.

Closed circle indicates including the point.

Calculation:

Consider the given graph.

The solution is all real numbers excluding the point $-1$

  $\left(-\infty ,1\right)\cup (1,\infty )$

Hence, the inequality representation of given graph is $\left(-\infty ,1\right)\text{ or }(1,\infty )$