X(x+3)>(x+1)(x-2)-1 (2x+1)(x+2)-(x-2)(x-4)

Предыдущий
вопрос Следующий
вопрос

To solve the inequalities, we first need to simplify the expressions on both sides of the inequality signs.

For the first inequality:
X(x+3) > (x+1)(x-2) - 1
Expanding the right side:
X^2 + 3X > x^2 - 2x + x - 2 - 1
X^2 + 3X > x^2 - x - 3

Now, let's simplify the second inequality:
(2x+1)(x+2) - (x-2)(x-4)
Expanding the expression:
2x^2 + 4x + x + 2 - x^2 + 4x - 2x + 8
2x^2 + 5x + 2 - x^2 + 2x + 8
x^2 + 7x + 10

So, the simplified inequalities are:
1) X^2 + 3X > x^2 - x - 3
2) x^2 + 7x + 10