1. Equations & Inequalities

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

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)

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

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

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5.

$\frac{5}{x+3}\ge \frac{3}{x}$

Solve each rational inequality. Give the solution set in interval notation. 3 /{4 - x} > 6 /{ 1 - x}