1. Equations & Inequalities

Solve each rational inequality. Give the solution set in interval notation. (2x + 3)/(x - 5) ≤ 0

Solve each quadratic inequality. Give the solution set in interval notation. x²-x-6>0

Solve the inequality. Express the solution set in interval notation and graph. $2x+12>19$

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. −x² + x ≥ 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. (3x+5)/(6−2x)≥0

In Exercises 69–74, solve each inequality and graph the solution set on a real number line. (x + 3)/(x - 4) ≤ 5

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

Solve each inequality in Exercises 65–70 and graph the solution set on a real number line. |x² + 2x - 36| > 12

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)(x−5)>0

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. −x² + 2x ≥ 0

In Exercises 73–74, use the graph of the rational function to solve each inequality.

1/4(x + 2) > - 3/4(x - 2)

In Exercises 59–94, solve each absolute value inequality. |3 - (2/3)x| > 5

In Exercises 59–94, solve each absolute value inequality. $12 < \(\left\)| -2x + \(\frac{6}{7}\) \(\right\)| + \(\frac{3}{7}\)$

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)/6 ≥ (x - 2)/9 + 5/18

Find the domain of each function. $f(x) = \(\sqrt{2x^2 - 5x + 2}\)$