Find all t values if 3l 2t-5l =

Given the inequality:

3*l
2t-5 l =< 12

To solve, we will need to isolate the
absolute value on the left sides.

We will divide by
3.

==> l 2t-5 l =<
12/3

==> l 2t-5 l =<
4

Now by definition we can
rewrite:

-4 =< 2t-5 =<
4

Now we will add 5 to all
sides.

==> 1 =< 2t =<
9

Now we will divide by
2.

==> 1/2  =< t  =<
9/2

Then the values of t belongs to the
interval [ 0.5 , 4.5]