Solve each quadratic inequality. Give the solution set in interval notation. x² + x - 30 ≤ 0

Solve each quadratic inequality. Give the solution set in interval notation. x² - 2 > x

Solve each quadratic inequality. Give the solution set in interval notation. 2x² + 5 ≤ 11x

Solve each polynomial inequality. Give the solution set in interval notation.

(a) -x(x - 1)(x - 2) ≥ 0

(b) -x(x - 1)(x - 2) > 0

(c) -x(x - 1)(x - 2) ≤ 0

(d) -x(x - 1)(x - 2) < 0

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

Solve each rational inequality. Give the solution set in interval notation. 1 /(x - 1) < 1 /(x + 1)

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

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5.

$\frac{5}{x+3}\ge \frac{3}{x}$