1. Equations & Inequalities

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

Solve each equation or inequality. | 10 - 4x | + 1 ≥ 5

Solve each polynomial inequality. Give the solution set in interval notation. 2x³ - 7x² ≥ 3 - 8x

Solve each quadratic inequality. Give the solution set in interval notation. x²≤9

Solve each rational inequality. Give the solution set in interval notation. (x - 1)/(x - 4) > 0

Use interval notation to represent all values of x satisfying the given conditions. y₁ = (2/3)(6x - 9) + 4, y₂ = 5x + 1, and y₁ > y₂

Solve each inequality. Give the solution set in interval notation. -4≤(x+1)/2≤5

Solve each rational inequality. Give the solution set in interval notation. 8 /(x - 2) ≥ 2

Use the graph to solve each equation or inequality. Use interval notation where appropriate. 7x(x - 1)(x - 2) > 0

Use the technique described in Exercises 87–90 to solve each inequality. Write the solution set in interval notation. -x² + 2x + 6 > 0

Solve each equation or inequality. | 12- 6x | + 3 ≥ 9

Solve each rational inequality. Give the solution set in interval notation. (2x-3)(3x+8)/(x-6)³≥0

In Exercises 15–26, use graphs to find each set. (- 3, 0) ∩ [- 1, 2]

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

Solve each equation or inequality.

$\mid 12-9x\mid \ge -12$