Solve for t if 3*l3t - 5l + 12 =

Given the inequality:

3*l 3t
-5 l + 12=< 27

First we will need to isolate the
absolute value on one sides.

We will subtract 12 from both
sides.

==> 3*l 3t -5 l =<
15

Now we will divide by
3.

==> l 3t -5 l =<
5

Now we will rewrite:

 -5
=< 3t -5 =< 5

Now we will add 5 to all
sides.

==> 0 =< 3t =<
10

Now we will divide by
3.

==> 0 =< t =<
10/3

Then the values of t belong to the
interval [ 0, 10/3 ]