1. Equations & Inequalities

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

In Exercises 59–94, solve each absolute value inequality. |x - 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(x + 1) + 2 ≥ 3x + 6

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. -9x ≥ 36

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. 9x²−6x+1<0

Solve each equation or inequality.

$\mid 7x-3\mid >4$

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

(a) -x(x - 1)(x - 2) ≥ 0

(b) -x(x - 1)(x - 2) > 0

(c) -x(x - 1)(x - 2) ≤ 0

(d) -x(x - 1)(x - 2) < 0

Solve each rational inequality. Give the solution set in interval notation. 4/(3+x)≤3/(3+x)

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

Solve each equation or inequality. | 6- 3x | < -11

Find the domain of each function. $f(x) = \(\frac{1}{\sqrt{4x^2 - 9x + 2}\)}$

Solve each inequality in Exercises 65–70 and graph the solution set on a real number line. $(x^2-x-2)/(x^2-4x+3)>0$

Solve each rational inequality. Give the solution set in interval notation. 5/(x+1)>12/(x+1)

Find the domain of each function. $f(x) = \(\sqrt{\frac{x}{2x - 1}\) - 1}$

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