1. Equations & Inequalities

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

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. 1 - (x + 3) ≥ 4 - 2x

Solve each inequality. Give the solution set using interval notation. (x+7) / (2x+1) ≤1

In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. [- 5, 2)

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 - 3/2 ≤ x/2 + 1

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+2

Solve each polynomial inequality. Give the solution set in interval notation. x⁵ + x² + 2 ≥ x⁴ + x³ + 2x

Solve each inequality. Give the solution set using interval notation. $\frac{3x-2}{x}-4>0$

Use interval notation to represent all values of x satisfying the given conditions. y = 8 - |5x + 3| and y is at least 6

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. 5x + 11 < 26

Solve each inequality. Give the solution set in interval notation. -(2/3)x-(1/6)x+(2/3)(x+1)≤4/3

Solve each inequality. Give the solution set in interval notation. 5| x + 1 | > 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. 3x²+10x−8≤0

In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. (1, 6]

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−4)/(x+3) > 0