1.2 Review Worksheet, Part 1

1.2.1 Set Theory Find the union and intersection of each pair of sets.

1. A = {4, 5, 6}; B = {l, 2, 3, 4, 5, 6}

2. A is the set of whole-number factors of 45; B is the set of whole-number factors of 15.

Find the complement of set A in universe U .

3. U = {0, 3, 6, 9, 12, 15, 18, 2l}; A = {0, 3, 6, 9, 12, 15, 18, 21}

4. U is the set of positive multiples of 5; A is the set of positive multiples of 10.

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 integers, and B is the set of positive integers. Statement: A ∩ B = B

6. A is the set of powers of 2 with natural-number exponents, and B is the set of positive even numbers. Statement: A ⊆ B

7. The set D = {52 mm, 53 mm, 54 mm, 55 mm} represents the diameters of skateboard wheels often recommended for teens. The set H = {80A, 85A, 90A, 95A, 100A} represents the hardness ratings of typically available wheels. Find D × H to determine all possible types of skateboard wheels typically available for teens.

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