1. Equations & Inequalities

Solve each equation or inequality.

$\mid 4x-12\mid \ge -3$

Write each statement using an absolute value equation or inequality. p is at least 3 units from 1.

Solve each problem. Suppose two acid solutions are mixed. One is 26% acid and the other is 34% acid. Which one of the following concentrations cannot possibly be the concentration of the mixture? A. 24% B. 30% C. 31% D. 33%

In Exercises 107–110, use graphs to find each set. [1,3) ∩ (0,4)

In Exercises 107–110, use graphs to find each set. (-2,1] ∩ [-1,3)

In Exercises 104–106, express each interval in set-builder notation and graph the interval on a number line. (-2, ∞)

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

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

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

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

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. x³≤4x²

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 polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. $x^3+x^2+4x+4>0$

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.

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. $x^3+2x^2-4x-8\ge 0$