Step 1 :The question is asking to graph the inequality \(x<-7\). This means we need to plot all the values of \(x\) that are less than -7.
Step 2 :In this case, we don't have a closed endpoint because \(x\) is strictly less than -7, not less than or equal to -7. So, we will have an open endpoint at -7.
Step 3 :The graph will be a ray that starts at -7 and goes to the left, indicating all the numbers less than -7.
Step 4 :\(\boxed{\text{The graph of the inequality } x<-7 \text{ is a ray that starts at -7 and extends to the left, indicating all the numbers less than -7. The endpoint at -7 is open, indicating that -7 is not included in the solution set of the inequality.}}\)