Find the value of b if b satisfies 3=

Given the inequality 3=< 2b-3 =<
13.

We need to find all possible b values where the
inequality holds.

Let us solve the same way we solve the
equality.

==> 3 =< 2b-3 =<
13

The goal is to isolate b by itself in the middle of the
inequality.

==> We will add 3 to all
sides.

==> 3+ 3 =< 2b -3 + 3 =< 13 +
3

==> 6 =<  2b  =< 
16.

Now we will divide all terms by
2.

==> 6/2  =<  2b/2  =< 
16/2

==> 3  =< b ==<
8.

Then we notice that b values are bounded by the numbers
3 and 8.

Then, b belongs to the interval [ 3,
8].

==> b = [ 3,
8].