1. Equations & Inequalities

Solve each rational inequality. Give the solution set in interval notation. (6-x)/(x+2)>1

In Exercises 69–74, solve each inequality and graph the solution set on a real number line. 2x^2 + 9x + 4 ≥ 0

Solve each inequality. Give the solution set in interval notation. | 3/5 + x | < 1

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. $x^3+2x^2-x-2\ge 0$

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

In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. (- ∞, 3)

Solve each equation or inequality.

Solve each inequality. Give the solution set using interval notation. 3/x+2 > 2/x-4

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (x+4)/x>0

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (x + 4)/(2x - 1) ≤ 3

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(3−x)(x−5)≤0

Use the graph to solve each equation or inequality. Use interval notation where appropriate. 7x(x - 1)(x - 2) = 0

Solve each inequality in Exercises 86–91 using a graphing utility. x³ + x² - 4x - 4 > 0

In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. [- 3, ∞)

Use the technique described in Exercises 87–90 to solve each inequality. Write the solution set in interval notation. 3x² + x ≥ 4