Final answer:
To express |6-10x| without absolute value when x>3/5, consider two cases: when 6-10x > 0 and when 6-10x < 0. In the first case, |6-10x| = 6-10x, and in the second case, |6-10x| = 10x-6.
Step-by-step explanation:
To express ∣6-10x∣ without absolute value when x>3/5, we need to consider two cases:
Case 1: When 6-10x > 0
In this case, ∣6-10x∣ = 6-10x
Case 2: When 6-10x < 0
In this case, ∣6-10x∣ = -(6-10x) = 10x-6
Combining both cases, we can express ∣6-10x∣ without absolute value as:
∣6-10x∣ = 6-10x if 6-10x > 0
∣6-10x∣ = 10x-6 if 6-10x < 0