Question 1175919
.


The  6-th sense tells me that the inequality is


                {{{(49/81)^(x+1)}}} > {{{9/7}}}.


<pre>
If so, then it is equivalent to

    {{{(81/49)^(-(x+1))}}} > {{{9/7}}}

    {{{(9/7)^(-2(x+1))}}} > {{{9/7}}}



Since the base of the exponential function is greater than 1, it inplies

     -2(x+1) > 1

     -2x - 2 > 1

      -2 - 1 > 2x

       2x < -3                

        x < {{{-3/2}}}.             <U>ANSWER</U>


<U>Visual  CHECK</U>



    {{{graph( 400, 400, -5, 5, -2, 10, 
              (49/81)^(x+1), 9/7
)}}}


       Plot y = {{{(49/81)^(x+1)}}} (red)  and y = {{{9/7}}} (green)
</pre>

Solved.