1. Equations & Inequalities

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. 4x²−4x+1≥0

In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. $y_1 = \(\frac{x}{2}\) + 3, \(\quad\) y_2 = \(\frac{x}{3}\) + \(\frac{5}{2}\), \(\quad\) \(\text{and}\) \(\quad\) y_1 \(\leq\) y_2$

Solve each inequality in Exercises 86–91 using a graphing utility. x² + 3x - 10 > 0

Solve each rational inequality. Give the solution set in interval notation. (x-1)/(x-6)≤0

Solve each quadratic inequality. Give the solution set in interval notation. x² + x - 30 ≤ 0

Use the graph of y = |4 - x| to solve each inequality.

|4 - x| ≥ 5

Solve each quadratic inequality. Give the solution set in interval notation. x²>16

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

Match the inequality in each exercise in Column I with its equivalent interval notation in Column II. x²≥0

Solve each inequality. Give the solution set using interval notation. 3/x-1 ≤ 5/x+3

In Exercises 59–94, solve each absolute value inequality. 3 ≤ |2x - 1|

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

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

$7x-2(x-3)\le 5(2-x)$

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−3)/(x+2)≤0

Solve each inequality in Exercises 86–91 using a graphing utility. 1/(x + 1) ≤ 2/(x + 4)