To solve this inequality, we can rewrite both sides with a common base:

(5/11)^3x > (5/11)^(2-x)

Using the rule that (a^m)^n = a^(m*n), we can simplify the left side:

(5/11)^(3x) > (5/11)^(2-x)

Now, since the bases are the same, we can compare the exponents:

3x > 2 - x

Now, we can solve for x:

3x + x > 2

4x > 2

x > 2/4

x > 1/2

Therefore, the solution to the inequality is x > 1/2.