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. x^5 + x^2 + 2 ≥ x^4 + x^3 + 2x

Solve each polynomial inequality. Give the solution set in interval notation. See Examples 2 and 3. x^4 + 6x^2 + 1 ≥ 4x^3 + 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. x^2 + x - 30 ≤ 0

Solve each quadratic inequality. Give the solution set in interval notation. See Example 1. x^2 - 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. SeeExamples 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. {x^2 - 3x- 4} /{ x^2 + 6x + 9} ≤ 0

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

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. 1 /{x - 1} < 1 /{ x + 1}

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. 2 /{x - 2} ≥ 1 / x

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. 5 /{x + 3} ≥ 3 /x

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. 3 /{4 - x} > 6 /{ 1 - x}