1. Equations & Inequalities

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

Solve each polynomial inequality. Give the solution set in interval notation. See Examples 2 and 3. 2x^3 - 7x^2 ≥ 3 - 8x

Solve each polynomial inequality. Give the solution set in interval notation. See Examples 2 and 3. x^4 - x^3 - 10x^2 - 8x < 0

Solve each polynomial inequality. Give the solution set in interval notation. See Examples 2 and 3. x^4 + 2x^3 + 36 < 11x^2 + 12x

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. (x - 1)/(x - 4) > 0

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. (x + 1)/(x - 5) > 0

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. (2x + 3)/(x - 5) ≤ 0

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. (3x + 7)/(x - 3) ≤ 0

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. 8 /(x - 2) ≥ 2

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. 20/(x - 1) ≥ 1

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. (x - 8)/(x - 4) < 3

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. (2x - 3)/(x + 1) > 4

Solve each quadratic inequality. Give the solution set in interval notation. SeeExample 1. (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. SeeExample 1. (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. See Example 1. - ( x +√2)(x-3) < 0