1.2.1 Set Theory − Worksheet

Example 1:

Find the union and intersection of each pair of sets.

1. A = {10, 12, 14, 16}; B = {9, 10, 11, 12}

2. A is the set of positive prime numbers less than 10; B is the set of whole-number factors of 10.

Example 2:

Find the complement of set A in universe U . 3. U = { − 5, − 4, − 3, − 2, − 1, 0, 1, 2}; A = { − 1, 0, 1}

4. U is the set of whole numbers less than 10; A is the set of perfect squares less than 10.

Example 3:

Determine whether each statement about the sets is true or false. Use a Venn diagram to support your answer. 5. A is the set of whole-number factors of 9, and B is the set of whole-number factors of 16. Statement: A ∩ B = ∅

6. A is the set of perfect squares, and B is the set of whole numbers. Statement: A ⊆ B

Example 4: 7. The set W = {30, 32, 34, 36, 38, 40, 42} represents the waist sizes in inches of men’s jeans sold at a clothing store. The set I = {28, 30, 32} represents the possible inseam lengths in inches of the jeans. Find W × I to determine all size of jeans sold at the store.

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