Question

which points would you find on the graph for |x|+1<3?

Answer 1

We must find the points that we would find on the graph for:

$|x|-1<3.$

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:

$\begin{gathered} x=-1\rightarrow|-1|+1=1+1=2<3\text{ }✓ \\ x=-3\rightarrow|-3|+1=3+1=4>3\text{ }✖ \\ x=0\rightarrow|0|+1=0+1=1<3\text{ }✓ \\ x=-1\rightarrow|-1|+1=1+1=2<3\text{ }✓ \end{gathered}$

Answer

We would find the values: -1, 0 and 1.