Solve each polynomial inequality. Give the solution set in interval notation. x⁴ + 6x² + 1 ≥ 4x³ + 4x

Solve each quadratic inequality. Give the solution set in interval notation. (x - 4)² ≤ 0

Solve each quadratic inequality. Give the solution set in interval notation. -(x + 1)² ≥ 0

Solve each quadratic inequality. Give the solution set in interval notation. x² + x - 30 ≤ 0

Solve each quadratic inequality. Give the solution set in interval notation. 2x² + 5 ≤ 11x

Solve each polynomial inequality. Give the solution set in interval notation.

(a) -x(x - 1)(x - 2) ≥ 0

(b) -x(x - 1)(x - 2) > 0

(c) -x(x - 1)(x - 2) ≤ 0

(d) -x(x - 1)(x - 2) < 0

Solve each rational inequality. Give the solution set in interval notation. $\frac{x^2-3x-4}{x^2+6x+9}\le 0$

Solve each rational inequality. Give the solution set in interval notation. 1 /(x+ 2) > 1 /(x -3)