x(x+2)<(x+3)(x-1)

x(x+2)<(x+3)(x-1)

Expand both sides:

x^2 + 2x < x^2 + 3x - x - 3

Simplify the inequality:

2x < 3x - 4

Subtract 3x from both sides:

-x < -4

Multiply by -1 (reverse the inequality):

x > 4

Ответ: x > 4