Chapter 3.7, Problem 3WE

To determine

To graph: The given inequality.

Explanation of Solution

Given information: Inequality is $x+1<0$ .

Graph:

Transforming the inequality into an equivalent inequality with $x$ alone on one side,

  $x<-1$ .

Graphing the associated equation $x=-1$ as a dashed line, it is a vertical line, a point $P(x,y)$ belongs to the graph of the inequality if and only if the $x-coordinate$ of $P$ is less than $-1$ (i.e. if and only if $P$ is to the left of the boundary line $x=-1$ ).

  

Thus, the inequality is graphed.