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.
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.