1. Equations & Inequalities

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

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

Solve each polynomial inequality. Give the solution set in interval notation. x⁵ + x² + 2 ≥ x⁴ + x³ + 2x

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. x² - 2 > x

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