Question

Select the graph of the solution. Click until the correct graph appears.

| x | + 1 < 3

Answer 1

-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========