We are asked to write and graph an inequality that represents the numbers that are not solutions to the inequality from the given graph. Therefore, we are looking at the non-shaded region in the number line.
Let's start by graphing the inequality that represents the non-shaded area from the above number line. In order to do so, we will replace any closed points with open points. Likewise, we will replace any open points with closed points.
The red shaded area consists of all numbers that are less than -4 orgreater than -1.
x<-4 or x > -1
