1. Equations & Inequalities

Use the graph to solve each equation or inequality. Use interval notation where appropriate. 2(x-2) / {(x-1)(x-3)} > 0

Use the graph to solve each equation or inequality. Use interval notation where appropriate. 2(x-2) / {(x-1)(x-3)} ≤ 0

Solve each polynomial inequality. Give the solution set in interval notation. See Examples 2 and 3. (2x - 1)(5x - 9)(x - 4) < 0

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

Solve each polynomial inequality. Give the solution set in interval notation. (x - 3)(x - 4)(x - 5)² ≤ 0

Solve each polynomial inequality. Give the solution set in interval notation. -(x - 3)(x - 4)² (x - 5) > 0

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

Solve each polynomial inequality. Give the solution set in interval notation. 2x³ - 7x² ≥ 3 - 8x

Solve each polynomial inequality. Give the solution set in interval notation. x⁴ - x³ - 10x² - 8x < 0

Solve each polynomial inequality. Give the solution set in interval notation. x⁴ + 2x³ + 36 < 11x² + 12x

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

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

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

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

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