Question

(x-1)(x+2)>(x-2)(х-3)

Answer 1

Объяснение:

.....................

Answer 2

Let's simplify and solve the inequality:

Expanding the expressions on both sides:

(x - 1)(x + 2) > (x - 2)(x - 3) x^2 + x - 2 > x^2 - 3x + 6

Now, we can cancel out the x^2 terms on both sides:

x + 6 > -3x + 6

Bringing the x terms to one side:

x + 3x > 6 - 6 4x > 0

Dividing both sides by 4 (since it's positive):

x > 0

Therefore, the solution to the inequality is x > 0.