Section 4.5
Quiz 6.4
Question: 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].
 (x – 1) x2  <  0