1) To solve the inequality x - 1/3 ≥ 2x - 3/5, we first get rid of the fractions by multiplying the entire inequality by 15 to get:

15(x - 1/3) ≥ 15(2x - 3/5)
15x - 5 ≥ 30x - 9
Simplify:
15x - 5 ≥ 30x - 9
15x ≥ 30x - 4
-15x ≥ -4
x ≤ 4/15

So the solution set for this inequality is x ≤ 4/15.

2) To solve the inequality 3x - 2/4 ≥ 2x - 1/3, we first get rid of the fractions by multiplying by 12 to get:

12(3x - 2/4) ≥ 12(2x - 1/3)
12(3x) - 12(2/4) ≥ 12(2x) - 12(1/3)
36x - 6 ≥ 24x - 4
Simplify:
36x - 6 ≥ 24x - 4
12x - 6 ≥ -4
12x ≥ 2
x ≥ 1/6

So the solution set for this inequality is x ≥ 1/6.