1. Equations & Inequalities

Solve each inequality. Give the solution set in interval notation. 2>-6x+3>-3

Solve each inequality. Give the solution set in interval notation. 5| x + 1 | > 12

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. -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.

$\mid 5-3x\mid \le 7$

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