1. Equations & Inequalities

Solve each polynomial inequality. Give the solution set in interval notation. (x + 3)³(2x - 1)(x + 4) ≥ 0

Solve each polynomial inequality. Give the solution set in interval notation. 2x³ - 7x² ≥ 3 - 8x

Solve each polynomial inequality. Give the solution set in interval notation. x⁴ - x³ - 10x² - 8x < 0

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. (3x + 7)/(x - 3) ≤ 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

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

(a) (x - 5)(x + 2) ≥ 0

(b) (x - 5)(x + 2) > 0

(c) (x - 5)(x + 2) ≤ 0

(d) (x - 5)(x + 2) < 0

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

(a) -(x + 1)(x + 2) ≥ 0

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

(c) -(x + 1)(x + 2) ≤ 0

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

Solve each quadratic inequality. Give the solution set in interval notation. - ( x +√2)(x-3) < 0