6) 250 * (1/5)^x < 2

1. Divide both sides by 250: $$(1/5)^x < 2/250$$

2. Simplify the right side: $$(1/5)^x < 1/125$$

3. Rewrite with the same base: $$(1/5)^x < (1/5)^3$$

4. Since the base is between 0 and 1, reverse the inequality sign when comparing exponents: $$x > 3$$.