23 lines
391 B
Plaintext
23 lines
391 B
Plaintext
U = {x € Z+ : x <= 10}, A = {x : x udda, x != 5}, B = {x : x primtal}.
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Bestäm |A|, |B|, ¨A, ¨B, AuB, A↓uB, och A\B
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A = {1, 3, 7, 9}
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B = {2, 3, 5, 7}
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|A| = 4
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|B| = 4
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¨A = {2, 4, 5, 6, 8, 10}
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¨B = {1, 4, 6, 8, 9, 10}
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AuB = {1, 2, 3, 5, 7, 9}
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A↓uB = {3, 7}
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A\B = {1, 9}
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A"delt"B = {1, 2, 5, 9}
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Beviska:
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1) ¨A↓u(AuB) = B\A
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2) (AuB)↓u¨(A↓uB) = (A↓u¨B)u(B↓u¨A)
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