1. Equations & Inequalities

Solve each inequality. Give the solution set in interval notation. | 1/2 - x | ≤ 2

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

Use interval notation to represent all values of x satisfying the given conditions. y = 2x - 11 + 3(x + 2) and y is at most 0

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

Use the technique described in Exercises 87–90 to solve each inequality. Write the solution set in interval notation. -x² + 4x + 1 ≥ 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.1/(x - 3) < 1

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. 5(x - 2) - 3(x + 4) ≥ 2x - 20

Solve each problem. Velocity of an Object The velocity of an object, v, after t seconds is given by v=3t²-18t+24.Find the interval where the velocity is negative.

In Exercises 51–58, solve each compound inequality. - 3 ≤ x - 2 < 1

Use the graph to solve each equation or inequality. Use interval notation where appropriate. 7x(x - 1)(x - 2) < 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. x²−6x+9<0

Solve each quadratic inequality. Give the solution set in interval notation. 3x²+x≤4

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. 2x²+x<15

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

$-8>3x-5>-12$

Solve each problem. A baseball is hit so that its height, s, in feet after t seconds is s=-16t²+44t+4. For what time period is the ball at least 32 ft above the ground?