solve the inequality 7 =

Given the inequality:

7
=< 2x-5 =< 11

We need to find the values of x
that verifies the inequality.

First we need to isolate x in
the middle by itself.

We will add 5 to all
sides.

==> 7+5 =< 2x =<
11+5

==> 12 =< 2x =<
16

Now we will divide by
2.

==> 12/2 =< x =<
16/2

==> 6 =< x =<
8

Then the values of x that verifies the inequality is
bounded by 6 and 8.

Then x belongs to the
interval [6, 8].