We must find the points that we would find on the graph for:
[tex]|x|-1<3.[/tex]
The points that we would find are the values of x that satisfies the inequality above.
Replacing the values of the list, we see that:
[tex]\begin{gathered} x=-1\rightarrow|-1|+1=1+1=2<3\text{ }✓ \\ x=-3\rightarrow|-3|+1=3+1=4>3\text{ }✖ \\ x=0\rightarrow|0|+1=0+1=1<3\text{ }✓ \\ x=-1\rightarrow|-1|+1=1+1=2<3\text{ }✓ \end{gathered}[/tex]
Answer
We would find the values: -1, 0 and 1.
