Exercise 21 Page 260

There are two major steps to writing an inequality when given its graph.

1. Write an equation for the boundary line.
2. Determine the inequality symbol and complete the inequality.

In this exercise, we have been given the graph of a system of two linear inequalities. We will tackle them one at a time and bring them together in a system at the end.

The Strict Inequality

Let's take a look at the graph of the strict inequality.

Notice that the boundary line is vertical and passes through $(\text{-}1,0).$ Therefore, the equation of the line is $x=\text{-}1,$ so we substitute the equals sign with a blank space.