1. Equations & Inequalities

Solve each quadratic inequality. Give the solution set in interval notation. See Example 1. (x-4)(x + √2) < 0

Solve each polynomial inequality. Give the solution set in interval notation. See Examples 2 and 3. x⁵ + x² + 2 ≥ x⁴ + x³ + 2x

Solve each polynomial inequality. Give the solution set in interval notation. See Examples 2 and 3. x⁴ + 6x² + 1 ≥ 4x³ + 4x

Solve each quadratic inequality. Give the solution set in interval notation. See Example 1. (x - 4)^2 ≤ 0

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

Solve each quadratic inequality. Give the solution set in interval notation. See Example 1. x² + x - 30 ≤ 0

Solve each quadratic inequality. Give the solution set in interval notation. See Example 1. x² - 2 > x

Solve each quadratic inequality. Give the solution set in interval notation. See Example 1. 2^x² + 5 ≤ 11x

Solve each polynomial inequality. Give the solution set in interval notation. See Examples 2 and 3. 23. (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. See Examples 4 and 5.

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