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.4(x + 1) + 2 ≥ 3x + 6

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

Solve each inequality. Give the solution set in interval notation. | 7 - 3x | > 4

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.2x - 11 < - 3(x + 2)

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

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

Solve each inequality. Give the solution set in interval notation. | 7 - 3x | ≤ 4

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