1.2.1 Set Theory − Practice

2. If P = { − 1, 0, 1, 2, 4} and Q = {4, 5, 6}, find P ∪ Q .

1. If A = {2, 5} and B = {1, 2, 3, 4, 5}, find A ∪ B .

4. If P = {1, 3, 6, 7, 9} and Q = 1, 2, 4, 5, 6, 7, 8}, find P ∩ Q .

3. If A = {1, 2, 4} and B = {2, 4, 6, 8, 10}, find A ∩ B .

6. Find the complement of set A in universe U . U is the set of whole numbers less than 10. A is the set of factors of 9. 8. If A is the set of all natural numbers, choose the set B that will make the following statement true . B ⊆ A ◦ B = {0, 1, 2, 3, 4} ◦ B = {−1, 1}

5. Find the complement of set B in universe U . U is the set of natural numbers less than or equal to 8 B is the set of even factors of 8 7. If A is the set of all integers, choose the set B that will make the following statement false . B ⊆ A ◦ B = {1, 2, 3} ◦ B = {2.5, 3.5, 4.5} ◦ B = {−4, −1, 0, 5, 10} ◦ B = {0} 9. Which of the following statements correctly describes the information given in the Venn diagram?

◦ B = {−1, 0, 1} ◦ B = {1, 2, 3, 4}

◦ R ⊆ S ◦ S is the complement of R

◦ S ∩ R ◦ S ∪ R

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