If 9< 15mx-8< 27, where m is a positive constant, what is the possible range of values of 8/3 -5mx?

The possible range of is:

                   (-9,-3) i.e.

We are given a set of inequalities of the form:

Now when we divide all of the inequality by 3 we get that:

Now when we multiply the inequality by -1 then the sign of the inequality gets interchanged.

i.e.

i.e.

Hence, the possible range of is:

    (-9,-3) i.e. between -9 and -3 with -9 and -3 excluded from the range.

i would have to say it is c.