1. Equations & Inequalities

Solve each rational inequality. Give the solution set in interval notation. 20/(x - 1) ≥ 1

Solve each equation or inequality.

$\mid 8-5x\mid \ge 2$

Solve each rational inequality. Give the solution set in interval notation. (x - 8)/(x - 4) < 3

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+3)/(x+4)<0

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. (2−x)²(x−7/2)<0

Solve each inequality. Give the solution set in interval notation. 2-4x+5(x-1)<-6(x-2)

Solve each equation or inequality. | 4.3x + 9.8| < 0

Solve each quadratic inequality. Give the solution set in interval notation. (x-4)(x + √2) < 0

Write each statement using an absolute value equation or inequality. r is no less than 1 unit from 29.

Solve each inequality. Give the solution set using interval notation. x²-3x ≥ 5

Solve each inequality. Give the solution set in interval notation. (2x-5)/-8≤1-x

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

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

Solve each inequality. Give the solution set in interval notation. (2x-1)(x+5)<0

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