1. Equations & Inequalities

Solve each equation or inequality.

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

Solve each inequality. Give the solution set in interval notation. 3(x+5)+1≥5+3x

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. x/(x + 2) ≥ 2

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. (x−4)(x+2)>0

The temperatures on the surface of Mars in degrees Celsius approximately satisfy the inequality $\mid C+84\mid \le 6$. What range of temperatures corresponds to this inequality?

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. $x^3\ge 9x^2$

Solve each inequality. Give the solution set in interval notation. (1/3)x+(2/5)x-(1/2)(x+3)≤1/10

Solve each quadratic inequality. Give the solution set in interval notation. (x - 4)² ≤ 0

Use the graph to solve each equation or inequality. Use interval notation where appropriate. 2(x-2) / {(x-1)(x-3)} ≤ 0

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (4−2x)/(3x+4)≤0

In Exercises 59–94, solve each absolute value inequality. |3x - 8| > 7

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

(a) -(x + 1)(x + 2) ≥ 0

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

(c) -(x + 1)(x + 2) ≤ 0

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

Solve each rational inequality. Give the solution set in interval notation. 1 /(x - 1) < 1 /(x + 1)

Solve each inequality in Exercises 86–91 using a graphing utility. 2x² + 5x - 3 ≤ 0