1. Equations & Inequalities

In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. (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. 2x - 11 < - 3(x + 2)

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

Solve each equation or inequality. | 7 + 2x| = 0

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

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

Solve each rational inequality. Give the solution set in interval notation. (9x-11)(2x+7)/(3x-8)³>0

Solve each rational inequality. Give the solution set in interval notation. (x+2)/(x+7)≥0

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

$\frac{5}{2-x}>\frac{3}{3-x}$

Match each equation or inequality in Column I with the graph of its solution set in Column II. | x | ≤ 7

Solve each absolute value inequality. 5|2x + 1| - 3 ≥ 9

Solve each rational inequality. Give the solution set in interval notation. 3 /{4 - x} > 6 /{ 1 - x}

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. 8x - 11 ≤ 3x - 13

Solve each quadratic inequality. Give the solution set in interval notation. 4x²+3x+1≤0

Solve each equation or inequality. | 2x+ 1/3 | +1 < 4