Question

Select the graph for the solution of the open sentence. Click until the correct graph appears.

IX - 1l <4

Answer 1

Here we can not see the options, so i will find the graph by the equation alone.

We start with:

Ix - 1I < 4

We could rewrite this as:

-4 < (x - 1) < 4

Now we can add 1 in the 3 parts, to get:

-4 + 1 < x - 1 + 1 < 4 + 1

-3 < x < 5

This means that the graph will be such that:

x > -3 (this is a dashed line at x = 3, and we shade the part in the right of that line)

and:

x < 5 (this is a dashed line at x = 5, and we shade the part in the left of that line)

The graph would look something like the one below

(If the graphs are only in one axis, you should see a white dot at x = -3, than a colour line that goes to the right until the point x = 5, where we have another white dot)