Let the universal setU= {positive integers 1 through 15}

A= {elements of the universal set that are also multiples of 2}

B= {elements of the universal set that are also multiples of 3}

C= {elements of the universal set that are also multiples of 5}

A.Draw a Venn diagram ofA, B, C, andUthat illustrates the correct placement ofeachelement of the setU.

B.Explain how to determine the placement ofeachnumber in the diagram

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Here is my BEFORE CH:

U= positive integers 1-15. (1,7, 11,13) A: multiples of 2: (2,4, 8,14) 3: multiples of 3: (3, 9) C=Multiples of 5: (5) l|:1,1.11,13 Set A (in yellow): integers 2,4,8, and 14 are in this circle. These are multiples of 2 but are also not part of multiples of 3 or 5. Set B (in blue): integers 3 and 9 are in this circle. These are multiples of 3 but also not part of 2 or 5. Set C (in red): integer 5 is in this circle. This is a multiple of 5 but not part of 3 or 2. Set AC (in orange): Integer 10 is in this circle. This is a multiple of both 2 and 5. Set AB (in green): Integers 6 and 12 are in this circle. These are multiples of 2 and 3. Set BC (in purple): Integer 15 is in this circle. This is a multiple of 3 and 15. Set of elements in the universal set U that are not inside the circle sets A, B, and C but are still within the U set of the rectangle. These are 1, 7, 11, and 13. These are NOT multiples of 2, 3, or 5. U= positive integers 1-15. (1,2,3,4,5,6,7, 8,9, 10,11,12,13,14, 15) A: multiples of 2: (2,4,6, 8,10,12,14) B= multiples of 3: (3,6, 9,12) C=Multiples of 5: (5,10,15) 2418.10.11\" Set A (yellow): integers 2,4,6,8,10,12, and 14 are in this circle. These are multiples of 2 Set B (in blue): integers 3,6, 9, 12,and 15 are in this circle. These are multiples of 3. Set C (in red): integers 5, 10, and 15 are in this circle. These are a multiple of 5. AMC (in orange): Integer 10 is in this circle. This is a multiple of both 2 and 5. A03 (in green): Integers 6 and 12 are in this circle. These are multiples of 2 and 3. BC (in purple): Integer 15 is in this circle. This is a multiple of 3 and 15