Answer:
-2<x<2
You are shading between -2 and 2. You are putting open circles at the endpoints -2 and 2 because there is no equal sign in your inequality.
The problem:
Graph and solve |x|+1<3.
Explanation:
|x|+1<3
Subtract 1 on both sides:
|x|+1-1<3-1
|x|+(1-1)<3-1
|x|<2
So since it is | |<positive number, that means we want out solutions between the opposite of that positive number and that number.
Think of it like this:
The inequality says you are looking for values of x such that you have a distance less than 2 from 0.
Those numbers would be between -2 and 2 (exclusive of the endpoints).
The solution as an inequality would be:
-2<x<2
Graphing:
()************()
=======-2========2========