The elements 1 and 2 have been entered on this Venn diagram - OCR - GCSE Maths - Question 9 - 2021 - Paper 3
Question 9
The elements 1 and 2 have been entered on this Venn diagram.
Complete the Venn diagram to show all of the elements.
Worked Solution & Example Answer:The elements 1 and 2 have been entered on this Venn diagram - OCR - GCSE Maths - Question 9 - 2021 - Paper 3
Step 1
Identify the elements in Set A and Set B
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Answer
Set A consists of odd numbers from the universal set, which are {1, 3, 5, 7, 9, 11, 13, 15}.
Set B consists of multiples of 5 from the universal set, which are {5, 10, 15}.
Step 2
Determine the elements in the intersection of Set A and Set B
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Answer
The intersection of Set A and Set B includes elements that are both odd and multiples of 5.
Thus, the intersection is {15}.
Step 3
List the elements only in Set A
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Answer
The elements in Set A that are not in Set B are {1, 3, 5, 7, 9, 11, 13}.
Step 4
List the elements only in Set B
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Answer
The elements in Set B that are not in Set A are {5, 10}.
Step 5
Complete the Venn Diagram
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Answer
In the Venn diagram:
Circle A will contain {1, 3, 7, 9, 11, 13, 15}.
Circle B will contain {5, 10, 15}.
The intersection will be {15}, showing the common element.
