1. Equations & Inequalities

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 + 3) ≥ 4 - 2x

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

Solve each inequality. Give the solution set in interval notation. | 0.01x + 1 | < 0.01

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. x/4 - 3/2 ≤ x/2 + 1

Explain why the equation | x | = √x² has infinitely many solutions.

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

Solve each equation or inequality. |4x + 3| - 2 = -1

Solve each equation or inequality. |8 - 3x| - 3 = -2

Solve each equation or inequality. |6 - 2x | + 1 = 3

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. (x - 4)/6 ≥ (x - 2)/9 + 5/18

Solve each equation or inequality. | 4 - 4x | + 2 = 4

Solve each equation or inequality. | 3x + 1 | - 1 < 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. 4(3x - 2) - 3x < 3(1 + 3x) - 7

Solve each equation or inequality. | 5x + 2 | - 2 < 3

Solve each equation or inequality. | 5x + 1/2 | -2 < 5