# Set Operations

1. Write the following in roster form:

Set N is the set of natural numbers between ten and sixteen

2. Express the following in set builder notation:

Z = {2, 3, 4, 5, 6, 7, 8, 9, 10}

3. For sets A and B, determine whether A = B, A is a subset of B, or B is a subset of A

A = { x| x є N and 13 < x < 18}

B = { 12, 13, 14, 15, 16, 17, 18}

4. Given the diagram below, find a) A U B and b) A ∩ B

5. Given U = {18. 19. 20, 21, 22, 23, 24, 25, 26, 27, 28, 29}, A = {21, 23, 25, 27, 29}, and

B = {26, 27, 28, 29}. Find A′ U B′.

6. Given U = {l, m, n, o, p, q, r, s, t, u, v, w}, A = {l, m, n, o, p, q}, B = {n, o, r, s, v, w}, and C = {l, m, p, q, r, t}, find (A′ U C′) ∩ B′.

7. Set K contains 30 elements, set J contains 46 elements, and 11 elements are common to both sets. Find n ( K U J).

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#### Solution Summary

Set operations such as union, intersection and complement are investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.