Final answer:
The solution set for the inequality -3(2x-5) is less than 5(2-x) is x > 5.
Step-by-step explanation:
The solution set for the inequality -3(2x-5) is less than 5(2-x) can be found by simplifying the inequality and solving for x. Let's start by distributing the -3 and 5 terms.
-3(2x-5) < 5(2-x)
-6x + 15 < 10 - 5x
Next, we can combine like terms by subtracting -5x from both sides:
-6x + 15 + 5x < 10
-x + 15 < 10
Subtract 15 from both sides:
-x < -5
Finally, divide both sides by -1, remembering to flip the inequality sign:
x > 5
Therefore, the solution set for the inequality is x > 5.