ЯсноПонятно24

Expanding the left side of the inequality, we get:

(6x - 11 - x^2)(x^4 - 18x^2 + 84) = 6x^5 - 108x^3 + 504x - 11x^4 + 198x^2 - 924

Combining like terms, we get:

6x^5 - 11x^4 - 108x^3 + 198x^2 + 504x - 924

Now, we need to determine the values of x that satisfy the inequality:

6x^5 - 11x^4 - 108x^3 + 198x^2 + 504x - 924 ≥ -6

To solve this inequality, we need to set it equal to 0:

6x^5 - 11x^4 - 108x^3 + 198x^2 + 504x - 918 ≥ 0

Next, we can try to factor the polynomial, but it may not be easily factorable. We can use a graphing calculator or a computer algebra system to find the roots of the polynomial and determine the intervals where the inequality is satisfied.