The sports played by a set of girls G and a set of boys B in a Limerick school are shown in the Venn diagram - Junior Cycle Mathematics - Question 4 - 2013
Question 4
The sports played by a set of girls G and a set of boys B in a Limerick school are shown in the Venn diagram.
(a) Describe the region of the diagram where camogie a... show full transcript
Worked Solution & Example Answer:The sports played by a set of girls G and a set of boys B in a Limerick school are shown in the Venn diagram - Junior Cycle Mathematics - Question 4 - 2013
Step 1
Describe the region of the diagram where camogie and hockey are located.
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Answer
The region of the diagram where camogie and hockey are located represents the set of girls only, which can be described as either 'Girls only' or the intersection of sets G and B: 'G ∩ B'.
Step 2
Describe the region of the diagram where tennis, basketball and football are located.
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Answer
This region indicates where tennis, basketball, and football are played, showing the overlap between the girls and boys. It can be described as 'Girls and Boys both play' or the intersection of sets G and B: 'G ∩ B'.
Step 3
In the Venn diagram, shade the set A ∪ B.
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Answer
In this step, shade the entire area covered by both circles in the Venn diagram, representing all members of both sets A and B.
Step 4
In the Venn diagram, shade the set (A ∪ B)′.
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Answer
For this step, shade the area outside the union of sets A and B, indicating all elements that are not part of A or B.
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