1. Equations & Inequalities

Which inequality has solution set (-∞, ∞)?

A. (x-3)²≥0

B. (5x-6)²≤0

C. (6x+4)²>0

D. (8x+7)²<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.

Solve each equation or inequality.

Use the technique described in Exercises 87–90 to solve each inequality. Write the solution set in interval notation. 2x² - 9x ≥ 18

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. $5x\le 2-3x^2$

Solve each inequality in Exercises 86–91 using a graphing utility. (x - 4)/(x - 1) ≤ 0

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

Solve each problem. Suppose two acid solutions are mixed. One is 26% acid and the other is 34% acid. Which one of the following concentrations cannot possibly be the concentration of the mixture? A. 24% B. 30% C. 31% D. 33%

Solve each equation or inequality. | 8x + 5| = 0

Solve each inequality. Give the solution set in interval notation. | 5 - 3x | > 7

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

Solve and graph the solution set on a number line: 3|2x-1| ≥ 21

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. x²+5x+4>0

Solve each inequality. Give the solution set using interval notation. -5x - 4≥3(2x-5)

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 + 1)/(x + 3) < 2