ЯсноПонятно24

First, let's simplify the left side of the inequality:

(4x - 5 - x^2)(x^4 - 8x^2 + 18) = 4x(x^4 - 8x^2 + 18) - 5(x^4 - 8x^2 + 18) - x^2(x^4 - 8x^2 + 18) = 4x^5 - 32x^3 + 72x - 5x^4 + 40x^2 - 90 - x^6 + 8x^4 - 18x^2 = -x^6 + 3x^5 - 37x^4 + 8x^3 + 22x^2 + 72x - 90

Now, we have the inequality:

-x^6 + 3x^5 - 37x^4 + 8x^3 + 22x^2 + 72x - 90 > -2

To solve this inequality, we need to set it equal to 0 and find the critical points:

-x^6 + 3x^5 - 37x^4 + 8x^3 + 22x^2 + 72x - 88 = 0

We can then use a graphing calculator or software to find the intervals where the inequality is satisfied.