Chapter 2.1, Problem 42E

To determine

Write an inequality for the graph,

  

Answer to Problem 42E

The inequality is $x\ge -2$ .

Explanation of Solution

Given:

The graph is shown below:

  

Calculation:

Following are the steps to get the inequality:

Step1:

Consider a variable as $x$ .

Step2:

The graph shows that the region of solution is rightward from the number -2. It means the deciding constant of inequality is -2 and sign of inequality must be more than $(>)$ .

Step3:

On the number -2, there is dark circle on the graph. It means that the variable is equal to -2 as well. Thus, the inequality becomes more than equal to $(\ge )$ .

Hence, the required inequality is,

  $x\ge -2$