InterviewSolution
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Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}. Find: i. A – B ii. A – C iii. A – D iv. B – A v. C – A vi. D – A vii. B – C viii. B – D |
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Answer» A – B is defined as {x ϵ A : x ∉ B} i. A – B is defined as {x ϵ A : x ∉ B} A = {3, 6, 12, 15, 18, 21} B = {4, 8, 12, 16, 20} A – B = {3, 6, 15, 18, 21} ii. A – C is defined as {x ϵ A : x ∉ C} A = {3, 6, 12, 15, 18, 21} C = {2, 4, 6, 8, 10, 12, 14, 16} A – C = {3, 15, 18, 21} iii. A – D is defined as {x ϵ A : x ∉ D} A = {3, 6, 12, 15, 18, 21} D = {5, 10, 15, 20}. A – D = {3, 6, 12, 18, 21} iv. B – A is defined as {x ϵ B : x ∉ A} A = {3, 6, 12, 15, 18, 21} B = {4, 8, 12, 16, 20} B – A = {4, 8, 16, 20} v. C – A is defined as {x ϵ C : x ∉ A} A = {3, 6, 12, 15, 18, 21} C = {2, 4, 6, 8, 10, 12, 14, 16} C – A = {2, 4, 8, 10, 14, 16} vi. D – A is defined as {x ϵ D : x ∉ A} A = {3, 6, 12, 15, 18, 21} D = {5, 10, 15, 20}. D – A = {5, 10, 20}. vii. B – C is defined as {x ϵ B : x ∉ C} B = {4, 8, 12, 16, 20} C = {2, 4, 6, 8, 10, 12, 14, 16} B – C = {4, 8, 20} viii. B – D is defined as {x ϵ B : x ∉ D} B = {4, 8, 12, 16, 20} D = {5, 10, 15, 20} B – D = {4, 8, 12, 16} |
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