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COMEDK2024Morning ShiftMathematicsSets and RelationsActual

aligned & aligned & A, B, C are subsets of the Universal set U & If A = x: x is even number, x 20 & B = x: x is multiple of 3, x 15 & C = x: x is multiple of 5, x 20 & U = Set of whole numbers aligned & then the Venn diagram representing U , A , B and C is aligned

Correct answer

2

Step-by-step solution

Given the sets: A = x : x is an even number, x 20 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 B = x : x is a multiple of 3, x 15 = 3, 6, 9, 12, 15 C = x : x is a multiple of 5, x 20 = 5, 10, 15, 20 We determine the intersections: A B = 6, 12 B C = 15 A C = 10, 20 A B C = (empty set, as no number is a multiple of 2, 3, and 5 simultaneously within the given ranges). Now, calculate the elements in each region: Only A = A - (B C) = 2, 4, 8, 14, 16, 18 Only B = B - (A C) = 3, 9 Only C = C - (A B) = 5 A B (excluding C) = 6, 12

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