Chapter 3.6, Problem 35PPE

To determine

The inequality that represent the given graph.

Answer to Problem 35PPE

Therequired inequality is $-3>x\ge 4$ .

Explanation of Solution

Given:

The graph is given as

  

As it is clear from the graph, the variable, say $x$ , is greater than -3. So, the inequality can be represented as;

  $x<-3$

Again, it is clear from the graph, the variable, say $x$ , is less than or equal to 4. So, the inequality can be represented as;

  $x\ge 4$

The inequality can be written as;

  $-3>x\ge 4$

Therefore, the required inequality is $-3>x\ge 4$ .