1. Equations & Inequalities

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. $x^2-4x\ge 0$

Solve each rational inequality. Give the solution set in interval notation. (x+3)/(2x-5)≤1

Solve each quadratic inequality. Give the solution set in interval notation. x²-7x+10<0

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

In Exercises 51–58, solve each compound inequality. - 3 ≤ (2/3)x - 5 < - 1

Solve each inequality in Exercises 65–70 and graph the solution set on a real number line. 1/(x + 1) > 2/(x - 1)

Solve each rational inequality. Give the solution set in interval notation. $\frac{x^2-3x-4}{x^2+6x+9}\le 0$

Match each equation or inequality in Column I with the graph of its solution set in Column II. | x | > -7

Solve each inequality. Give the solution set using interval notation. 5 ≤ 2x -3 ≤ 7

In Exercises 15–26, use graphs to find each set. (- ∞, 5) ∩ [1, 8)

Use the technique described in Exercises 87–90 to solve each inequality. Write the solution set in interval notation. x² - x - 6 < 0

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

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

In Exercises 51–58, solve each compound inequality. - 11 < 2x - 1 ≤ - 5

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