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To solve this inequality, we first need to simplify the expression on the left side.

(1/3)^(x-4x) > 1

Now, we can simplify the left side by combining the exponents:

(1/3)^(-3x) > 1

Next, we can rewrite the left side using the reciprocal property of exponents:

1 / (1/3)^(3x) > 1

Now, we can simplify further:

3^(3x) > 1

Since 3 raised to any power is always positive, we can remove the inequality sign without changing the direction:

3^(3x) = 27^x > 1

Now, we need to solve the inequality 27^x > 1. Since 27 is greater than 1, raising it to any power will always result in a number greater than 1. Therefore, the inequality 27^x > 1 is true for all real numbers x.

Therefore, the solution to the inequality (1/3)^(x-4x) > 1 is all real numbers x.