Solve the following inequality. You may express your answer as an inequality or you may use interval notation. Write an inequality like 2 < x ≤5 OR x ≥ 8 as 2<x<=5 or x>=8. Write a solution composed of two intervals like x is in (–∞, 2] or x is in (5, 8] as (-infinity,2] or (5,8].

x (x – 3)^{3} > 0

Variation:

Solve the following inequality. You may express your answer as an inequality or you may use interval notation. Write an inequality like 2 < x ≤5 OR x ≥ 8 as 2<x<=5 or x>=8. Write a solution composed of two intervals like x is in (–∞, 2] or x is in (5, 8] as (-infinity,2] or (5,8].

(x – 1) (x – 3)^{3} ≤ 0

Solve the following inequality. You may express your answer as an inequality or you may use interval notation. Write an inequality like 2 < x ≤5 OR x ≥ 8 as 2<x<=5 or x>=8. Write a solution composed of two intervals like x is in (–∞, 2] or x is in (5, 8] as (-infinity,2] or (5,8].

(x – 1) (x – 3)^{2} ≥ 0

Solve the following inequality. You may express your answer as an inequality or you may use interval notation. Write an inequality like 2 < x ≤5 OR x ≥ 8 as 2<x<=5 or x>=8. Write a solution composed of two intervals like x is in (–∞, 2] or x is in (5, 8] as (-infinity,2] or (5,8].

x (x – 3)^{2} ≤ 0

Solve the following inequality. You may express your answer as an inequality or you may use interval notation. Write an inequality like 2 < x ≤5 OR x ≥ 8 as 2<x<=5 or x>=8. Write a solution composed of two intervals like x is in (–∞, 2] or x is in (5, 8] as (-infinity,2] or (5,8].

(x – 3) (x – 1)^{2} > 0

Solve the following inequality. You may express your answer as an inequality or you may use interval notation. Write an inequality like 2 < x ≤5 OR x ≥ 8 as 2<x<=5 or x>=8. Write a solution composed of two intervals like x is in (–∞, 2] or x is in (5, 8] as (-infinity,2] or (5,8].