množiny 1 (sjednocení a průnik) – cvičné příklady - řešení
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množiny 1 |
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jsou dány množiny:
A = {1,
3, 5, 7}
B = {2,
4, 6, 8 …}
C = {8}
D = {4,
7, 9, 10, 12, 13}
E = {5,
10, 15}
F = {2,
4, 6, 8, 10, 12, 14}
určete daný
průnik a sjednocení:
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A ∩ B = Ø |
A U B = {{1, 2, 3, 4, 5, 6, 7, 8} U {10, 12, 14 …}} |
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A ∩ C = Ø |
A U C = {1, 3, 5, 7, 8} |
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A ∩ D = {7} |
A U D = {1, 3, 4, 5, 7, 9, 10, 12, 13} |
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A ∩ E = {5} |
A U E = {1, 3, 5, 7, 10, 15} |
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A ∩ F = Ø |
A U F = {1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14} |
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B ∩ C = {8} |
B U C = {2, 4, 6, 8 …} |
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B ∩ D = {4, 10, 12} |
B U D = {{2, 4, 6, 7, 8, 10, 12, 13} U {14, 16, 18 …}} |
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B ∩ E = {10} |
B U E = {{2, 4, 5, 6, 8, 10, 12, 14, 15} U {16, 18, 20 …}} |
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B ∩ F = {2, 4, 6, 8, 10, 12, 14} |
B U F = {2, 4, 6, 8 …} |
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C ∩ D = Ø |
C U D = {4, 7, 8, 9, 10, 12, 13} |
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C ∩ E = Ø |
C U E = {5, 8, 10, 15 } |
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C ∩ F = {8} |
C U F = {2, 4, 6, 8, 10, 12, 14} |
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D ∩ E = {10} |
D U E = {4, 5, 7, 9, 10, 12, 13, 15} |
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D ∩ F = {4, 10, 12} |
D U F = {2, 4, 6, 7, 8, 9, 10, 12, 13, 14} |
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E ∩ F = {10} |
E U F = {2, 4, 5, 6, 8, 10, 12, 14, 15 } |