Solve each polynomial inequality. Give the solution set in interval notation. x⁴ + 2x³ + 36 < 11x² + 12x

Solve each rational inequality. Give the solution set in interval notation. (x - 1)/(x - 4) > 0

Solve each rational inequality. Give the solution set in interval notation. (x + 1)/(x - 5) > 0

Solve each rational inequality. Give the solution set in interval notation. (2x + 3)/(x - 5) ≤ 0

Solve each rational inequality. Give the solution set in interval notation. 8 /(x - 2) ≥ 2

Solve each rational inequality. Give the solution set in interval notation. 20/(x - 1) ≥ 1

Solve each rational inequality. Give the solution set in interval notation. (x - 8)/(x - 4) < 3

Solve each rational inequality. Give the solution set in interval notation. (2x - 3)/(x + 1) > 4