Question

Graph the solution set for the inequality.x + y < -5

Answer 1

Solve the given inequality for y:

`\begin{gathered} x+y<-5 \\ y<-x-5 \end{gathered}`

Graph the borderline of the inequality, which is y=-x-5.

Since the sign of the inequality is less than, we have to change the continuous line for a dotted line and shade the region that is under the line, this way:

That is the graph of the solution set.