1. Equations & Inequalities

Solve each quadratic inequality. Give the solution set in interval notation. 2x² + 5 ≤ 11x

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

In Exercises 59–94, solve each absolute value inequality. |3x + 5| < 17

Solve each quadratic inequality. Give the solution set in interval notation. x²+4x>-1

Solve each polynomial inequality. Give the solution set in interval notation. (x - 4)(2x + 3)(3x - 1) ≥ 0

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

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

Solve each rational inequality. Give the solution set in interval notation. (x+1)/(x-4)>0

When 4 times a number is subtracted from 5, the absolute value of the difference is at most 13. Use interval notation to express the set of all numbers that satisfy this condition.

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

Use the method described in Exercises 83–86, if applicable, and properties of absolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 can be solved by inspection.)

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. 9x²+3x−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. $x^3+x^2+4x+4>0$

Solve each rational inequality. Give the solution set in interval notation. 10/(3+2x)≤5

Solve each quadratic inequality. Give the solution set in interval notation.

(a) (x - 5)(x + 2) ≥ 0

(b) (x - 5)(x + 2) > 0

(c) (x - 5)(x + 2) ≤ 0

(d) (x - 5)(x + 2) < 0