Let's solve the inequality step by step:
2х(х - 4) - (2х + 5)(х - 10) < 2(3.5х + 50)
Expanding the brackets on both sides:
2х^2 - 8х - (2х^2 - 20х + 5х - 50) < 7х + 100
Simplifying:
2х^2 - 8х - 2х^2 + 20х - 5х + 50 < 7х + 100
Combine like terms:
7х + 50 < 7х + 100
Subtracting 7х from both sides:
50 < 100
This is a true statement, which means that the inequality holds for all values of x. In other words, there is no restriction on the values of x that satisfy the inequality.
