Defining Sets and Set Operations
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Note: U = union, n = intersect
1. Let U = {q, r, s, t, u, v, w, x, y, z}
A = {q, s, u, w, y}
B = {q, s, y, z}
C = {v, w, x, y, z}.
Determine A U (B n C)
2. Let U = {q, r, s, t, u, v, w, x, y, z}
A = {q, s, u, w, y}
B = {q, s, y, z}
C = {v, w, x, y, z}
Determine A U (B n C)
3. Construct a Venn diagram illustrating the following sets.
3) U = {2, 4, 6, 8, 10, 12}
A = {2, 6, 10}
B = {2, 4, 8}
C = {2, 8, 10, 12}
4. Find n(A) for the set A = { 3, 5, 7, 9, 11}
5. Find n(A) for the set A = {x | x is a second in a minute}
Expectations:
Clearly define sets and set operations.
Select appropriate set elements and distinguish between sets, subsets, and proper subsets.
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Solution Summary
The solution provides step by step method for the set operations and Venn diagram.
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1. Let U = {q, r, s, t, u, v, w, x, y, z}
A = {q, s, u, w, y}
B = {q, s, y, z}
C = {v, w, x, y, z}.
Determine A ∪ (B ∩ C)
Answer
B∩C = {y, z}
A = {q, s, u, w, y}
Therefore, A ∪ (B ∩ C) = {q, s, u, w, y, z}
2. Let U = {q, r, s, t, u, v, w, x, y, z}
...
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