How do we write and solve the statement " the difference between a number and 3 is less than 15" What are possible values of the number?

Let us assume that the number required is
x.

Then we need to find the
difference.

==> l x - 3l <
15

Now we will solve the inequality with the absolute
value.

We will
rewrite:

==> -15 < x-3 <
15

Now we will add 3 to both
sides.

==> -12 < x <
18

Then the values of the number are the
interval (-12, 18).