1. Equations & Inequalities

Solve each inequality. Give the solution set in interval notation. . | 3x - 4 | ≥ 2

In all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. 1 - x/2 > 4

Answer the following. Why must -4 be in the solution set of $\frac{x+4}{2x+1}\ge 0$? (Do not solve the inequality.)

Solve each inequality. Give the solution set in interval notation. | 5/3 - (1/2) x | > 2/9

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 quadratic inequality. Give the solution set in interval notation. x²-2x≤1

Solve each inequality. Give the solution set in interval notation. 1≤(4x-5)/2<9

Use the technique described in Exercises 87–90 to solve each inequality. Write the solution set in interval notation. x² - 9x + 20 < 0

In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. (- ∞, 5.5)

Match the inequality in each exercise in Column I with its equivalent interval notation in Column II. -2 < x ≤ 6

Solve each rational inequality. Give the solution set in interval notation. (2x - 3)/(x + 1) > 4

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

In Exercises 59–94, solve each absolute value inequality. - 2|x - 4| ≥ - 4

Solve each quadratic inequality. Give the solution set in interval notation. x²-7x+10>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. (x+1)(x−7)≤0