1. Equations & Inequalities

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5.

$\frac{5}{x+3}\ge \frac{3}{x}$

In Exercises 15–26, use graphs to find each set. (- 3, 0) ⋃ [- 1, 2]

In Exercises 51–58, solve each compound inequality. 6 < x + 3 < 8

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

In Exercises 15–26, use graphs to find each set. [3, ∞) ∩ (6, ∞)

Solve each inequality. Give the solution set in interval notation. 10≤2x+4≤16

In Exercises 104–106, express each interval in set-builder notation and graph the interval on a number line. (-2, ∞)

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.

Solve each absolute value inequality. |3(x - 1)/4| < 6

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)/(x²+1)≥0

Solve each equation or inequality. | 3x- 7 | + 1 > -2

Solve each inequality. Give the solution set using interval notation.

$11x\ge 2(x-4)$

Solve each rational inequality. Give the solution set in interval notation. 10/(x+3)≥1

In Exercises 59–94, solve each absolute value inequality. |x - 1| ≥ 2