3^1/(5x -2 ) ≤ (1/3)^1/(5 - 3x)

3^1/(5x - 2) ≤ 3^[- 1/(5 - 3x)]

3 > 1

1/(5x - 2) ≤ - 1/(5 - 3x)]

1/(5x - 2) + 1/(5 - 3x) ≤ 0

{(5 - 3x + 5x - 2) / [(5x - 2)*(5 - 3x)]} ≤ 0

{(3 + 2x) / [(5x - 2)*(5 - 3x)]} ≤ 0

ОДЗ: (5x - 2)*(5 - 3x) ≠ 0

5x - 2 = 0, 5x = 0, x = 2/5, x ≠ 0,4

5 - 3x = 0, -3x = - 5, x = 5/3, x ≠ 1(2/3)

Решим неравенство методом интервалов:

3 + 2x = 0, 2x = - 3, x = - 1,5

--(-∞)---( + )----[-1.5]-----( - )----(0,4)-----( + )---(12/3))----( - )--(+∞)-->

x∈ [ -1,5;0,4)∪( 1(2/3);+∞)