Решение:
1) (x-3)(x+2)-(x-3)^2 > 15x - 10x^2 - x - 6 - (x^2 - 6x + 9) > 15x - 10-x + 3 > 15x - 1014x < 13x < 13/14
2) 3) (x+2)(x-5)-(x+2)(x-5) < 14x-7x^2 - 3x - 10 - (x^2 - 3x - 10) < 14x - 714x - 7 < 14x - 7This statement is always true
Therefore, the solution to the system of inequalities on the set of real numbers is x < 13/14.
Решение:
1) (x-3)(x+2)-(x-3)^2 > 15x - 10
x^2 - x - 6 - (x^2 - 6x + 9) > 15x - 10
-x + 3 > 15x - 10
14x < 13
x < 13/14
2) 3) (x+2)(x-5)-(x+2)(x-5) < 14x-7
x^2 - 3x - 10 - (x^2 - 3x - 10) < 14x - 7
14x - 7 < 14x - 7
This statement is always true
Therefore, the solution to the system of inequalities on the set of real numbers is x < 13/14.